Publications

 

Preprints

[41] A.L. Agore, G. Militaru, Algebraic constructions for Jacobi-Jordan algebras, 19 pages, preprint 2021, submitted.

[40] A.L. Agore, A.S. Gordienko, J. Vercruysse, V-universal Hopf algebras (co)acting on Ω-algebras, 31 pages, preprint 2020, submitted.

Published papers

[39] A.L. Agore, A.S. Gordienko, J. Vercruysse, Equivalences of (co)module algebra structures over Hopf algebras, 35 pages, to appear in J. Noncommut. Geom.

[38] A.L. Agore, Universal coacting Poisson Hopf algebras, Manuscripta Math. 165 (2021), 255-268.

[37] A.L. Agore, G. Militaru, A new invariant for finite dimensional Leibniz/Lie algebras, J. Algebra 562 (2020), 390-409.

[36] A.L. Agore, Constructing Hopf braces, International J. Math. 30 (2019), 1850089, 17 pages.

[35] A.L. Agore, L. Nastasescu, Bicrossed products with the Taft algebra, Arch. Math 113 (2019), 21-36.

[34] A.L. Agore, G. Militaru, Galois groups and group actions on Lie algebras, J. Lie Theory 28 (2018), 1165-1188.

[33] A.L. Agore, Hopf algebras which factorize through the Taft algebra and the group Hopf algebra K[C_n], Symmetry Integrability Geom. Methods Appl. 14 (2018), 027, 14 pages.

[32] A.L. Agore, Classifying bicrossed products of two Taft algebras, J. Pure Appl. Algebra 222 (2018), 914-930.

[31] A.L. Agore, The maximal dimension of unital subalgebras of the matrix algebra, Forum Math. 29 (2017), 1-5.

[30] A.L. Agore, G. Militaru, Hochschild products and global non-abelian cohomology for algebras. Applications, J. Pure Appl. Algebra 221 (2017), 366-392.

[29] A.L. Agore, G. Militaru, Extending structures, Galois groups and supersolvable associative algebras, Monatsh. fur Mathematik 181 (2016), 1-33.

[28] A.L. Agore, G. Militaru, Jacobi and Poisson algebras, J. Noncommut. Geom. 9 (2015), 1295-1342.

[27] A.L. Agore, G. Militaru, Classifying complements for groups. Applications, Ann. Inst. Fourier 65 (2015), 1349-1365.

[26] A.L. Agore, G. Militaru, Ito's theorem and metabelian Leibniz algebras, Linear Multilinear Algebra 63 (2015), 2187-2199.

[25] A.L. Agore, G. Militaru, On a type of commutative algebras, Linear Algebra Appl. 485 (2015), 222-249.

[24] A.L. Agore, G. Militaru, The global extension problem, crossed products and co-flag non-commutative Poisson algebras, J. Algebra 426 (2015), 1-31.

[23] A.L. Agore, Free Poisson Hopf algebras generated by coalgebras, J. Math. Phys. 10 (2014), 083502, 10 pages.

[22] A.L. Agore, G. Militaru, Bicrossed products, matched pair deformations and the factorization index for Lie algebras, Symmetry Integrability Geom. Methods Appl. 10 (2014), 065, 16 pages.

[21] A.L. Agore, G. Militaru, Extending structures for Lie algebras, Monatsh. fur Mathematik 174 (2014), 169-193.

[20] A.L. Agore, G. Militaru, Extending structures I: the level of groups, Algebr. Represent. Theory 17 (2014), 831-848.

[19] A.L. Agore, Classifying complements for associative algebras, Linear Algebra Appl. 446 (2014), 345-355.

[18] A.L. Agore, S. Caenepeel, G. Militaru, Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, Appl. Cat. Structures 22 (2014), 29-42.

[17] A.L. Agore, G. Bontea, G. Militaru, The classification of all crossed products H_4 # k[C_n], Symmetry Integrability Geom. Methods Appl. 10 (2014), 049, 12 pages.

[16] A.L. Agore, G. Bontea, G. Militaru, Classifying bicrossed products of Hopf algebras, Algebr. Represent. Theory 17 (2014), 227-264.

[15] A.L. Agore, G. Militaru, Unified products for Leibniz algebras. Applications, Linear Algebra Appl. 439 (2013), 2609-2633.

[14] A.L. Agore, G. Militaru, Classifying complements for Hopf algebras and Lie algebras, J. Algebra 391 (2013), 193-208.

[13] A.L. Agore, Crossed product of Hopf algebras, Comm. Algebra 41 (2013), 2519-2542.

[12] A.L. Agore, G. Bontea, G. Militaru, Classifying coalgebra split extensions of Hopf algebras, J. Algebra Appl., 12 (2013), 1250227, 24 pages.

[11] A.L. Agore, Coquasitriangular structures for extensions of Hopf algebras. Applications, Glasgow Math. J. 55 (2013), 201-215.

[10] A.L. Agore, G. Militaru, Unified products and split extensions of Hopf algebras, Contemporary Math. AMS 585 (2013), 1-15.

[9] A.L. Agore, S. Caenepeel, G. Militaru, The center of the category of bimodules and descent data for non-commutative rings, J. Algebra Appl. 11 (2012), 1250102, 17 pages.

[8] A.L. Agore, G. Militaru, Schreier type theorems for bicrossed products, Cent. Eur. J. Math. 2 (2012), 722-739.

[7] A.L. Agore, G. Militaru, Extending structures II: The quantum version, J. Algebra 336 (2011), 321-341.

[6] A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, Proc. Amer. Math. Soc. 139 (2011), 855-863.

[5] A.L. Agore, Categorical constructions for Hopf algebras, Comm. Algebra 39 (2011), 1476-1481.

[4] A.L. Agore, D. Fratila, Crossed product of cyclic groups, Czechoslovak Math. J. 60 (2010), 889-901.

[3] A.L. Agore, Monomorphisms of coalgebras, Colloq. Math. 120 (2010), 149-155.

[2] A.L. Agore, A. Chirvasitu, B. Ion, G. Militaru, Bicrossed products for finite groups, Algebr. Represent. Theory 12 (2009), 481-488.

[1] A.L. Agore, G. Militaru, Crossed product of groups. Applications, Arab. J. Sci. Eng. 33 (2008), 1-18.

Books

[2] Extending structures. Fundamentals and Applications (with G. Militaru), Chapman & Hall, Taylor & Francis Group, Monographs and Research Notes in Mathematics, 2019, 224 pages, ISBN 9780815347842.

[1] Categorical constructions, braidings on monoidal categories and bicrossed products of Hopf algebras, VUB Press, 199 + xx pages, ISBN 978-90-5718-212-9; PhD Thesis, Vrije Universiteit Brussel, 2012. Available here.

Miscellaneous

A.L. Agore, S. Caenepeel, G. Militaru, The uniqueness of braidings on the monoidal category of non-commutative descent data, arXiv:1210.8052.