Preprints - My papers on arXiv and MathSciNet
[67] Plonka bi-magmas and the set-theoretic Yang-Baxter equation, preprint, 29 pages (with A.L. Agore and A. Chirvasitu)
Published papers
[66] The set-theoretic Yang-Baxter equation, Kimura semigroups and functional graphs, Res. Math. Sci. 12 (2025), 46 pages, (with A.L. Agore and A. Chirvasitu)
[65] On the structure and classification of Bernstein algebras, J. Algebra Appl. 24 (2025), 2550177 (16 pages)
[64] Universal constructions for Poisson algebras. Applications, J. Algebra 638 (2024), 32–56, (with A.L. Agore)
[63] The factorization problem for Jordan algebras. Applications, Collectanea Mathematica 74 (2023), 687–701 (with A.L. Agore)
[62] Unified products for Jordan algebras. Applications, J. Pure Appl. Algebra 227 (2023), 107268 (with A.L. Agore)
[61] Crossed products of 4-algebras. Applications, J. Algebra 614 (2023), 251–270
[60] The automorphisms group and the classification of gradings of finite dimensional associative algebras, Results Math. 77 (2022), Article number 13
[59] Algebraic constructions for Jacobi-Jordan algebras, Linear Algebra Appl. 630 (2021), 158–178 (with A.L. Agore)
[58] A new invariant for finite dimensional Leibniz/Lie algebras, J. Algebra 562 (2020), 390–409 (with A.L. Agore)
[57] Galois groups and group actions on Lie algebras, J. Lie Theory 28 (2018), 1165–1188 (with A.L. Agore)
[56] Hochschild products and global non-abelian cohomology for algebras. Applications, J. Pure Appl. Algebra 221 (2017), 366–392 (with A.L. Agore)
[55] Metabelian associative algebras, Bull. Malays. Math. Sci. Soc. 40 (2017), 1639-1651
[54] Extending structures, Galois groups and supersolvable associative algebras, Monatshefte fur Mathematik 181 (2016), 1–33 (with A.L. Agore)
[53] Jacobi and Poisson algebras, J. Noncommutative Geometry 9 (2015), 1295–1342 (with A.L. Agore)
[52] Classifying complements for groups. Applications, Ann. Institut Fourier 65 (2015), 1349–1365 (with A.L. Agore)
[51] Itˆo’s theorem and metabelian Leibniz algebras, Linear Multilinear Algebra 63 (2015), 2187–2199 (with A.L. Agore)
[50] On a type of commutative algebras, Linear Algebra Appl. 485 (2015), 222–249 (with A.L. Agore)
[49] The global extension problem, crossed products and co-flag noncommutative Poisson algebras, J. Algebra 426 (2015), 1–31 (with A.L. Agore)
[48] The global extension problem, co-flag and metabelian Leibniz algebras, Linear Multilinear Algebra 63 (2015), 601-621
[47] Extending structures for Lie algebras, Monatshefte fur Mathematik 174 (2014), 169-193 (with A.L. Agore)
[46] Bicrossed products, matched pair deformations and the factorization index for Lie algebras, Symmetry Integr. Geom. 10 (2014), 065, 16 pages (with A.L. Agore)
[45] Extending structures I: the level of groups, Algebras and Representation Theory 17 (2014), 831-848 (with A.L. Agore)
[44] Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, Appl. Cat. Structures 22 (2014), 29–42 (with A.L. Agore and S. Caenepeel)
[43] The classification of all crossed products H4 #k [Cn ], Symmetry Integr. Geom. 10 (2014), 049, 12 pages (with A.L. Agore and C. Bontea)
[42] Classifying bicrossed products of Hopf algebras, Algebras and Representation Theory 17 (2014), 227–264 (with A.L. Agore and C. Bontea)
[41] Unified products for Leibniz algebras. Applications, Linear Algebra Appl. 439 (2013), 2609-2633 (with A.L. Agore)
[40] Classifying complements for Hopf algebras and Lie algebras, J. Algebra 391(2013), 193-208 (with A.L. Agore)
[39] Classifying coalgebra split extensions of Hopf algebras, J. Algebra Appl. 2 (2013), 1-24 (with A.L. Agore and C. Bontea)
[38] Unified products and split extensions of Hopf algebra, Contemporary Mathematics AMS Vol. 585 (2013), 1-16, (with A.L. Agore)
[37] The center of the category of bimodules and and descent data for non commutative rings, J. Algebra Appl. 11 (2012), 1-17, (with A.L. Agore, S. Caenepeel)
[36] Schreirer type theorems for bicrossed products, Cent. Eur. J. Math. 10 (2012), 722-739 (with A.L. Agore)
[35] Representable functors for corings, Comm. Algebra 40 (2012), 1766–1796
[34] Extending Structures II: The Quantum Version, J. Algebra 336 (2011), 321 - 341 (with A.L. Agore)
[33] Serre Theorem for involutory Hopf algebras, Cent. Eur. J. Math. 8 (2010), 15-21
[32] Bicrossed product for finite groups, Algebras and Representation Theory 12 (2009), 481-488 (with A.L. Agore, A. Chirvasitu and Bogdan Ion)
[31] Crossed Product of groups. Applications, Arabian J. Sci and Engienering (AJSE) 33 (2008), 1-17 (with A.L. Agore)
[30] Naturally full functors in nature, Acta Mathematica Sinica 22 (2006), 233–250 (with A. Ardizzoni, S. Caenepeel and C. Menini)
[29] The affineness criterion for Doi-Koppinen modules, in ”Hopf algebras in noncommutative geometry and physics”, 215–227, Lecture Notes in Pure and Appl. Math., 239, Dekker, New York, 2005 (cu C. Menini)
[28] Frobenius functors of the second kind (Errata and addenda), Comm. Algebra 33 (2005), 4735-4736 (with S. Caenepeel si E. De Groot)
[27] Heisenberg double, pentagon equation, structure and classification of finite dimensional Hopf algebras, J. London Math. Soc., 69 (2004), no. 1, 44-64
[26] Maschke functors, semisimple functors and separable functors of the second kind. Applications, J. Pure Appl. Algebra 178(2003), 131-157 (with S. Caenepeel)
[25] Frobenius functors of the second kind, Comm. Algebra 30 (2002), 5357-5389 (with S. Caenepeel and E. De Groot)
[24] Bialgebroids, x-bialgebras and duality, J. Algebra 251(2002), 279-294 (with T. Brzezinski)
[23] Doi-Koppinen modules for quantum groupoids, J. Pure Appl. Algebra 175 (2002), 46-62 (with S. Caenepeel and T. Brzezinski)
[22] Integrals, quantum Galois extensions and the affineness criterion for quantum Yetter-Drinfel’d modules, J. Algebra 247 (2002), 467-508, (with C. Menini)
[21] Frobenius and Mashke type theorems for Doi-Hopf modules and entwined modules: a unified approach, in Ring Theory and Algebraic Geometry, Lectures Notes of Pure and Applied Mathematics, Marcel Dekker, New York 221 (2001), 1-32 (with T. Brzezinski, S. Caenepeel and Shenglin Zhu)
[20] Separable functors for the category of Doi-Hopf modules II, in ”Hopf algebras and quantum groups”, Lectures Notes of Pure and Applied Mathematics , Marcel Dekker, New York 209 (2000), 69-103 (with S. Caenepeel, Bogdan Ion and Shenglin Zhu)
[19] The structure of Frobenius algebras and separable algebras, K-Theory 19 (2000), 365-402 (with S. Caenepeel and Bogdan Ion).
[18] The factorization problem and the smash biproduct of algebras and coalgebras, Algebras and Representation Theory 3 (2000), 19-42 (with S. Caenepeel, Bogdan Ion and Shenglin Zhu)
[17] Separable functors for the category of Doi-Hopf modules. Applications, Advances in Mathematics 145 (1999), 239-290 (with S. Caenepeel, Bogdan Ion, Shenglin Zhu)
[16] The Long dimodules category and nonlinear equations, Algebras and Representation Theory 2 (1999), 177-200
[15] A class of solutions for the integrability condition of the Knizhnik-Zamolodchikov equation: a Hopf algebra approach, Comm. Algebra 27 (1999), 2393-2407
[14] New types of bialgebras arising from the Hopf equation, Comm. Algebra 10 (1998), 3099-3117
[13] The Hopf modules category and the Hopf equation, Comm. Algebra 10 (1998), 3071-3097
[12] Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties, Trans. Amer. Math. Soc. 349 (1997), 4311-4342 (with S. Caenepeel and Shenglin Zhu)
[11] Coalgebra deformations of bialgebras by Harrison cocycles, coparings of Hopf algerbras and double crosscoproducts, Bull. Belg. Math. Soc- Simion Stevin 4 (1997), 647-672 (with S. Caenepeel, S. Dascalescu and F. Panait)
[10] Crossed modules and Doi-Hopf modules, Israel Journal of Mathematics 100 (1997), 221-247 (with S. Caenepeel and Shenglin Zhu)
[9] A Maschke type theorem for Doi-Hopf modules. Applications, J. Algebra 187 (1997), 388-412 (with S. Caenepeel and Shenglin Zhu)
[8] Crossed coproducts and cleft coextensions, Comm. Algebra 4 (1996), 1229-1243 (with S. Dascalescu and S. Raianu)
[7] Functors for relative Hopf modules. Applications, Revue Roumaine de Math. Pure and Appl. 41(1996), 501-517
[6] Simple objects in (G,A,R)-gr, Comm. Algebra 10 (1995), 3855-3866
[5] Extending modules for Hopf -Galois extensions, Comm. Algebra 14 (1994), 5657-5678 (with D. Stefan)
[4] When is HOM(M,-) equal to Hom(M,-) in the category R-gr?, Comm. Algebra 8 (1994), 3171-3181 (with J.L. Gomez-Pardo and C. Nastasescu)
[3] From graded rings to actions and coactions of Hopf algebras, Ann. Univ. Ovidius Constanta 2 (1994), 106–111
[2] Rings with finite quotients, Bull. Math. Soc. Sci. Math. Roumanie 37 (1993), 29–39 (with Ion D. Ion)
[1] Morita duality and graded rings, Proc. 9-th National Conference on Algebra, Cluj-Napoca, 1991, 93–98