Articles in Journals

  1. S. Caenepeel, About p-adic interpolation of continuous and differentiable functions, Groupe d'étude d'analyse ultramétrique 9 (1982), 25.01-08.
  2. S. Caenepeel, F. Van Oystaeyen, Crossed products over graded local rings, in "Brauer groups in ring theory and algebraic geometry", (F. Van Oystaeyen and A. Verschoren, eds.) Lect. Notes in Math. 917, Springer Verlag, Berlin 1982.
  3. S. Caenepeel, A cohomological interpretation of the graded Brauer group I, Comm. Algebra 11 (1983), 2129-2149.
  4. S. Caenepeel, M. Van den Bergh, F. Van Oystaeyen, Generalized crossed products applied to maximal orders, Brauer groups and related exact sequences, J. Pure Appl. Algebra 33 (1984), 123-149.
  5. S. Caenepeel, Graded complete and graded Henselian rings, in "Methods in ring Theory", Reidel, Dordrecht, the Netherlands, 1984.
  6. S. Caenepeel, Crossed products with respect to different kernel functors, J. Algebra 95 (1985), 445-453.
  7. S. Caenepeel, W. Malfliet, Internal structure of the two-soliton solution of the KdV equation, Wave Motion 7 (1985), 299-305.
  8. S. Caenepeel, A cohomological interpretation of the graded Brauer group II, J. Pure Appl. Algebra 38 (1985), 19-38.
  9. S. Caenepeel, Addendum to "A cohomological interpretation of the graded Brauer group II", J. Pure Appl. Algebra 45 (1987), 93-96.
  10. S. Caenepeel, On Brauer groups of graded Krull domains and positively graded rings, J. Algebra 99 (1986), 466-474.
  11. S. Caenepeel, A. Verschoren, A relative version of the Chase-Harrison-Rosenberg sequence, J. Pure and Appl. Algebra 41 (1986), 149-168.
  12. S. Caenepeel, A graded version of Artin's refinement theorem, in "Ring theory 1985" (F. Van Oystaeyen, ed.), Lect. Notes in Math. 1197, Springer Verlag, Berlin, 1986.
  13. S. Caenepeel, W.H. Schikhof, Two elementary proofs of Katsaras' theorem on p-adic compactoids, in "Proceedings of the conference on p-adic analysis", Hengelhoef 1986, Brussels, 1987.
  14. S. Caenepeel, Cancellation theorems for projective graded modules, in "Ring Theory, Granada 1986" (J. Bueso, P. Jara, B. Torrecillas, eds.), Lecture Notes in Math. 1328, Springer Verlag, Berlin, 1988.
  15. S. Caenepeel, F. Van Oystaeyen, A note on generalized Clifford algebras and representations, Comm. Algebra 17 (1989), 93-102.
  16. M. Beattie, S. Caenepeel, The Brauer-Long group of Z/ptZ-dimodule algebras, J. Pure and Appl. Algebra 61 (1989), 219-236.
  17. S. Caenepeel, A cohomological interpretation of the Brauer-Wall group, in "Proceedings of the Second Belgian-Spanish week on Algebra and Geometry", Alxebra Santiago de Compostela 54 (1990), 31-46.
  18. S. Caenepeel, Brauer-Long groups and Z-gradings, Bull. Belg. Soc. Math. 42B (1990), 123-136.
  19. S. Caenepeel, Computing the Brauer-Long group of a Hopf Algebra I : the Cohomological Theory, Israel J. Math. 72 (1990), 38-83.
  20. S. Caenepeel, M. Beattie, A cohomological approach to the Brauer-Long group and the groups of Galois extensions and strongly graded rings, Trans. Amer. Math. Soc. 324 (1991), 747-775.
  21. S. Caenepeel, A note on Inner Actions of Hopf Algebras, Proc. Amer. Math. Soc. 113 (1991), 31-39.
  22. S. Caenepeel, A note on noncommutative Galois objects over a Hopf algebra, Bull. Belg. Soc. Math. 43A (1991), 15-31.
  23. S. Caenepeel, Computing the Brauer-Long group of a Hopf Algebra II : the Skolem-Noether Theory, J. Pure Appl. Algebra 84 (1993), 107-144.
  24. S. Caenepeel, F. Van Oystaeyen, Quadratic forms with values in invertible modules, K-theory 7 (1993), 27-40.
  25. S. Caenepeel, S. Raianu, F. Van Oystaeyen, Induction and coinduction for Hopf algebras. Applications, J. Algebra 164 (1994), 204-222.
  26. S. Caenepeel, F. Van Oystaeyen, Y. Zhang, Quantum Yang-Baxter module algebras, K-theory 8 (1994), 231-255.
  27. S. Caenepeel, S. Dascalescu, S. Raianu, A Maschke-type theorem for crossed coproducts, An. St. Univ. Ovidius Constantza 2 (1994), 44-51.
  28. S. Caenepeel, S. Raianu, Induction functors for the Doi-Koppinen unified Hopf modules, in "Abelian groups and modules", (A. Facchini and C. Menini, eds.), Kluwer Academic Publishers, Dordrecht 1995, 73-94.
  29. Zhou Borong, S. Caenepeel, S. Raianu, Coinduction for infinite dimensional Hopf algebras, J. Pure and Appl. Algebra 107 (1996), 141-151.
  30. S. Caenepeel, S. Dascalescu, S. Raianu, Cosemisimple Hopf algebras coacting on coalgebras, Comm. in Algebra 24 (1996), 1649-1677.
  31. S. Caenepeel, G. Militaru, Zhu Shenglin, A Maschke-type theorem for Doi-Hopf modules. Applications, J. Algebra 187 (1997), 388-412.
  32. S. Caenepeel, A variation of Sweedler's complex and the group of Galois objects in the infinite dimensional case, Comm. in Algebra 24 (1996), 2991-3015.
  33. S. Caenepeel, F. Van Oystaeyen, Y. Zhang, The Brauer group of Yetter-Drinfel'd module algebras, Trans. Amer. Math. Soc. 349 (1997), 3737-3771.
  34. S. Caenepeel, G. Militaru, Zhu Shenglin, Crossed modules and Doi-Hopf modules, Israel J. Math. 100 (1997), 221-247.
  35. S. Caenepeel, S. Dascalescu, G. Militaru, F. Panaite, Coalgebra deformations of bialgebras by Harrison cocycles, Bull. Belg. Math. Soc. - Simon Stevin 4 (1997), 647-671.
  36. S. Caenepeel, G. Militaru, Zhu Shenglin, Doi-Hopf modules, Yetter-Drinfel'd modules and Frobenius type properties, Trans. Amer. Math. Soc. 349 (1997), 4311-4342.
  37. S. Caenepeel, Harrison cocycles and the group of Galois coobjects, Séminaires et congrès Soc. Math. de France 2 (1997), 83-101.
  38. S. Caenepeel, Kummer theory for monogenic Larson orders, in "Rings, Hopf algebras, and Brauer groups", S. Caenepeel and A. Verschoren (eds.), Lecture Notes in Pure and Appl. Math. 197, Marcel Dekker, New York, 1998, 85-102
  39. S. Caenepeel, F. Van Oystaeyen, Borong Zhou, Making the category of Doi-Hopf modules into a braided monoidal category, Algebras and Representation Theory 1 (1998), 75-96.
  40. S. Caenepeel, F. Grandjean, A note on Taylor's Brauer group, Pacific J. Math. 186 (1998), 13-27.
  41. S. Caenepeel, S. Dascalescu, Pointed Hopf algebras of dimension p^3, J. Algebra 209 (1998), 622-634.
  42. S. Caenepeel, S. Dascalescu, On pointed Hopf algebras of dimension 2^n, Bull. London Math. Soc. 31 (1999), 17-24.
  43. S. Caenepeel, Bogdan Ion, G. Militaru, Zhu Shenglin, Separable functors applied to Doi Hopf modules. Applications, Adv. Math. 145 (1999), 239-290.
  44. S. Caenepeel, S. Dascalescu, and Lieven Lebruyn, Forms of pointed Hopf algebras, Manuscripta Math. 100 (1999), 35-53.
  45. S. Caenepeel, The Brauer-Long group revisited: the multiplication rules, in "Algebra and Number theory", M. Boulagouaz and J.-P. Tignol (eds.), Lecture Notes in Pure and Appl. Math. 208, Marcel Dekker, New York, 1999, 61-86.
  46. S. Caenepeel, Bogdan Ion, G. Militaru, Zhu Shenglin, the factorization problem and Smash biproducts of algebras and coalgebras, Algebras Representation Theory 3 (2000), 19-42.
  47. S. Caenepeel, S. Dascalescu, S. Raianu, Classifying sixteen dimensional pointed Hopf algebras, Comm. Algebra 28 (2000), 541-568.
  48. S. Caenepeel, B. Ion, G. Militaru, The structure of Frobenius algebras and separable algebras, K-Theory 19 (2000), 365-402.
  49. S. Caenepeel, Zhengming Jiao, Pairings and the twisted product, Arab J. Math. Sc. 6 (2000), 17-36. DVI
  50. S. Caenepeel, E. De Groot, Weak entwining structures and Doi-Hopf modules over weak Hopf algebras, Contemp. Math.267 (2000), 31-54. DVI
  51. S. Caenepeel, Bogdan Ion, G. Militaru, Zhu Shenglin, Separable functors applied to Doi Hopf modules II, in "Hopf algebras and quantum groups", S. Caenepeel and F. Van Oystaeyen (eds.), Lecture Notes in Pure and Appl. Math. 209, Marcel Dekker, New York, 2000. DVI
  52. T. Brzezinski, S. Caenepeel, G. Militaru, Zhu Shenglin, Frobenius and Maschke type Theorems for Doi-Hopf modules and entwined modules revisited: a unified approach, to appear in "Ring theory and Algebraic Geometry", A. Granja, J. Hermida Alonso, and A. Verschoren (eds.), Lecture Notes in Pure and Appl. Math. 221, Marcel Dekker, New York, 2001. DVI
  53. T. Brzezinski, S. Caenepeel and G. Militaru, Doi-Koppinen modules for quantum groupoids, J. Pure Appl. Algebra, 175 (2002), 45-62. DVI pdf
  54. S. Caenepeel and L. Kadison, Are biseparable algebras Frobenius?, K-theory 24 (2001), 361-383. DVI pdf
  55. S. Caenepeel, E. De Groot, and G. Militaru, Frobenius functors of the second kind, Comm. algebra 30 (2002), 5357-5389. pdf (corrected version March 2005)
  56. S. Caenepeel, S. Dascalescu, C. Nastasescu, On gradings of matrix algebras and descent theory, Comm. algebra 30 (2002), 5901-5920. DVI
  57. D. Bulacu, S. Caenepeel, Integrals for (dual) quasi-Hopf algebras. Applications, J. Algebra 266 (2003), 552-583.
  58. D. Bulacu, S. Caenepeel, The quantum double for quasitriangular quasi-Hopf algebras, Comm. algebra 31 (2003), 1403-1425. DVI
  59. S. Caenepeel, G. Militaru, Maschke functors, semisimple functors and separable functors of the second kind. Applications, J. Pure Appl. Algebra 178 (2003), 131-157. DVI
  60. S. Caenepeel, J. Vercruysse and Shuanhong Wang, Morita Theory for corings and cleft entwining structures, J. Algebra 276 (2004), 210-235. pdf
  61. Bin Zhu and S. Caenepeel, On good filtration dimensions for standardly stratified algebras, Comm. Algebra 32 (2004), 1603-1614. pdf
  62. S. Caenepeel and T. Guédénon, Projectivity of a relative Hopf module over the subring of coinvariants, in "Hopf algebras", J. Bergen, S. Catoiu and W. Chin (eds.), Lecture Notes in Pure and Appl. Math. 237, Marcel Dekker, New York, 2004, p. 97-108. pdf
  63. S. Caenepeel, Dingguo Wang and Yanxin Wang, Twistings, crossed coproducts and Hopf-Galois coextensions, Int. J. Math. Math. Sci. 69 (2003), 4325-4345. pdf
  64. S. Caenepeel and T. Guédénon, Semisimplicity of the categories of Yetter-Drinfeld modules and Long dimodules, Comm. Algebra 32 (2004), 2767-2781 pdf
  65. D. Bulacu and S. Caenepeel, Two-sided (two-cosided) Hopf modules and Doi-Hopf modules for quasi-Hopf algebras, J. Algebra 270 (2003), 55-95. pdf
  66. S. Caenepeel, Galois corings from the descent theory point of view, Fields Inst. Comm. 43 (2004), 163-186. pdf
  67. S. Caenepeel, T. Guédénon, Projectivity and flatness over the endomorphism ring of a finitely generated module, Int. J. Math. Math. Sci. 30 (2004), 1581--1588. pdf
  68. S. Caenepeel, J. Vercruysse and Shuanhong Wang, Rationality properties for Morita contexts associated to corings, to appear in "Hopf algebras in noncommutative geometry and physics", S. Caenepeel and F. Van Oystaeyen (eds.), Lecture Notes in Pure and Appl. Math. 239, Marcel Dekker, New York, 2004 pdf
  69. D. Bulacu, S. Caenepeel and F. Panaite, More properties of Yetter-Drinfeld modules over quasi-Hopf algebras, to appear in "Hopf algebras in noncommutative geometry and physics", S. Caenepeel and F. Van Oystaeyen (eds.), Lecture Notes in Pure and Appl. Math. 239, Marcel Dekker, New York, 2004. pdf
  70. S. Caenepeel, E. De Groot, Corings applied to partial Galois theory, in "Proceedings of the International Conference on Mathematics and its Applications, ICMA 2004", S.L. Kalla and M.M. Chawla (Eds.), Kuwait University, Kuwait, 2005, 117-134 pdf
  71. S. Caenepeel, M. Iovanov, Comodules over semiperfect corings, in "Proceedings of the International Conference on Mathematics and its Applications, ICMA 2004", S.L. Kalla and M.M. Chawla (Eds.), Kuwait University, Kuwait, 2005, 135-160 pdf
  72. S. Caenepeel and Bin Zhu, Separable bimodules and approximations, Algebras Representation Theory 8 (2005), 207-223 pdf
  73. S. Caenepeel, T. Guédénon, The relative Picard group of a comodule algebra and Harrison cohomology, Proc. Edinburgh Math. Soc. 48 (2005), 557-569 pdf
  74. S. Caenepeel, T. Guédénon, On the cohomology of relative Hopf modules, Comm. Algebra 33 (2005), 4011-4034 pdf
  75. S. Caenepeel, B. Femic, The Brauer group of Azumaya corings and the second cohomology group, K-theory 34 (2005), 361-393 pdf
  76. S. Caenepeel, Dingguo Wang and Yanmin Yin, Yetter-Drinfeld modules over weak Hopf algebras and the center construction, Ann. Univ. Ferrara - Sez. VII - Sc. Mat. 51 (2005), 69-98. pdf
  77. S. Caenepeel, E. De Groot, G. Militaru, Correction to "Frobenius Functors of the second kind", Comm. Algebra 33 (2005), 4735-4736 pdf
  78. D. Bulacu, S. Caenepeel and F. Panaite, Yetter-Drinfeld categories for quasi-Hopf algebras, Comm. Algebra 34 (2006), 1-35.pdf
  79. S. Caenepeel, F. Van Oystaeyen, Y.H. Zhang, The equivariant Brauer group of a group, Proc. Amer. Math. Soc. 134 (2006), 959-972 pdf
  80. A. Ardizzoni, S. Caenepeel, C. Menini, G. Militaru, Naturally full functors in nature, Acta Mathematica Sinica 22 (2006), 233-250. pdf
  81. S. Caenepeel, M. De Lombaerde, A categorical approach to Turaev's Hopf group-coalgebras, Comm. Algebra 34 (2006), 2631-2657 pdf
  82. D. Bulacu, S. Caenepeel, B. Torrecillas, Doi-Hopf modules and Yetter-Drinfeld modules for quasi-Hopf algebras, Comm. Algebra 34 (2006), 2313-3449 pdf
  83. S. Caenepeel, D. Quinn, S. Raianu, Duality for finite Hopf algebras explained by corings, Appl. Categorical Structures 14 (2006), 531-537. pdf
  84. S. Caenepeel, E. De Groot, J. Vercruysse, Constructing infinite comatrix corings from colimits, Appl. Categorical Structures 14 (2006), 539-565. pdf
  85. S. Caenepeel, E. De Groot, J. Vercruysse, Galois theory for comatrix corings: descent theory, Morita theory, Frobenius and separability properties, Trans. Amer. Math. Soc. 359 (2007), 185-226. pdf
  86. S. Caenepeel, T. Guédénon, Fully bounded noetherian rings and Frobenius extensions, J. Algebra Appl. 6 (2007), 189-206. pdf
  87. S. Caenepeel, S. Crivei, A. Marcus, M. Takeuchi, Morita equivalences induced by bimodules over Hopf-Galois extensions, J. Algebra 314 (2007), 267-302 pdf
  88. S. Caenepeel, E. De Groot, Galois theory for weak Hopf algebras, Rev. Roumaine Math. Pures Appl. 52 (2007), 51-76. pdf
  89. D. Bulacu, S. Caenepeel, Corings in monoidal categories, in "New techniques in Hopf algebras and graded ring theory", S. Caenepeel and F. Van Oystaeyen (eds.), Royal Flemish Academy of Belgium, Brussels, 2007, 53-78.
  90. S. Caenepeel, K. Janssen, S. H. Wang, Group corings, Appl. Categorical Structures 16 (2008), 65-96. pdf
  91. S. Caenepeel, K. Janssen, Partial entwining structures, Comm. Algebra 36 (2008), 2923-2946. pdf
  92. S. Caenepeel, K. Janssen, Strong group coalgebra, Arab J. Sci. Eng. 33 2C (2008), 85-98. pdf
  93. D. Bulacu, S. Caenepeel, B. Torrecillas, Involutory (dual) quasi-Hopf algebras, Algebr. Represent. Theory 12 (2009), 257-285. pdf
  94. S. Caenepeel, A. Marcus, Hopf-Galois extensions and an exact sequence for H-Picard groups, J. Algebra 323 (2010), 622-657. pdf
  95. F. Borceux, S. Caenepeel, G. Janelidze, A monadic approach to Galois descent theory, Theory Appl. Categories 23 (2010), 92-112. pdf
  96. S. Caenepeel, Hopf-Galois extensions and isomorphisms of small categories, Mathematica 52 (75) (2010), 121-142. pdf
  97. S. Caenepeel, I. Goyvaerts, Monoidal Hom-Hopf algebras, Comm. Algebra 39 (2011), 2216-2240. pdf
  98. G. Böhm, S. Caenepeel, K. Janssen, Weak bialgebras and monoidal categories, Comm. Algebra, 39 (2011), 4584-4607. pdf
  99. D. Bulacu, S. Caenepeel, B. Torrecillas, The braided monoidal structures on the category of vector spaces graded by the Klein group, Proc. Edinburgh Math. Soc. 54 (2011), 613-641. pdf
  100. D. Bulacu, S. Caenepeel, On integrals and cointegrals for quasi-Hopf algebras, J. Algebra 351 (2012), 390-425. pdf

     

Books

  1. S. Caenepeel, F. Van Oystaeyen, Brauer groups and the cohomology of graded rings, Monographs and Textbooks in Pure and Appl. Math. 121, Marcel Dekker, New York, 1988. ISBN 0-8247-7978-9, 261+x p.
  2. S. Caenepeel, Brauer groups, Hopf algebras and Galois theory, K-Monographs in Mathematics 4, Kluwer Academic Publishers, Dordrecht, 1998. ISBN 0-7923-4829-X, 488+xvi p.
  3. S. Caenepeel, A. Verschoren (eds.), Rings, Hopf algebras, and Brauer groups, Lecture Notes in Pure and Applied Mathematics 197, Marcel Dekker, New York, 1998. ISBN 0-8247-0153-4, 332+x p.
  4. S. Caenepeel, F. Van Oystaeyen (eds.), Hopf algebras and quantum groups, Lecture Notes in Pure and Applied Mathematics 209, Marcel Dekker, New York, 2000. ISBN 0-8247-0395-2, 336 p.
  5. S. Caenepeel, G. Militaru, and Shenglin Zhu, Frobenius and separable functors for generalized module categories and nonlinear equations, Lecture Notes in Mathematics 1787, Springer Verlag, Berlin, 2002.ISBN 3-540-43782-7, 354 p. flyer
  6. S. Caenepeel (ed.), p-adic Numbers in Number Theory and Functional Analysis, A collection of papers in honour of Nicole De Grande-De Kimpe and Lucien Van hamme, at the occasion of their retirement, Bull. Belgian Math. Soc. - Simon Stevin, suppl. Dec. 2002. contents
  7. S. Caenepeel, F. Van Oystaeyen (eds.), Hopf algebras in non-commutative geometry and physics, Lecture Notes in Pure and Applied Mathematics 239, Marcel Dekker, New York, 2005. ISBN 0-8247-5759-9, 320 p. contents
  8. M. Boulagouaz, S. Caenepeel, M. Charkani (eds.), Interactions between Ring theory and number theory, Proceedings of the "2ième Colloque International d'Algèbre et Théorie des Nombres", Hindawi Publishing, New York, 2005, ISBN 977-5945-17-8
  9. S. Caenepeel (ed.), Categorical methods in Hopf algebras, Appl. Categorical Structures 14 (2006), issue 5-6, ISSN 0927-2852 contents
  10. S. Caenepeel and F. Van Oystaeyen (eds.), "New techniques in Hopf algebras and graded ring theory", Royal Flemish Academy of Belgium, Brussels, 2007. ISBN D/2007/0455/10. articles
  11. S. Caenepeel and A. Verschoren (eds.), "Noncommutative rings and geometry: in honour of Freddy Van Oystaeyen, at the occasion of his sixtieth birthday", Algebr. Represent Theory 12, issue 2-5, ISSN 1386-923X.
  12. S. Caenepeel, J. Fuchs, S. Gutt, C. Schweigert, A. Stolin, F. Van Oystaeyen (eds.), "Noncommutative structures in mathematics and Physics", Royal Flemish Academy of Belgium, Brussels, 2010, ISBN 9789065690616. articles