Extending structures and the global extension problem
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Period: 4.01.2021 - 31.12.2023
Publications
Articles
2021
A.L. Agore, G. Militaru - Algebraic constructions for Jacobi-Jordan algebras, Linear Algebra and its Applications 630 (2021), 158-178.
G. Militaru - The automorphisms group and the classification of gradings of finite dimensional associative algebras, Results in Mathematics 77 (2022), 13 (13 pages).
A.L. Agore, A.S. Gordienko, J. Vercruysse - V-universal Hopf algebras (co)acting on Ω -algebras, Communications in Contemporary Mathematics 25 (2023), 2150095 (40 pages).
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2022
A.L. Agore - Eilenberg-Moore and Kleisli type categories for bimonads on arbitrary categories, Results in Mathematics 77 (2022), 225 (22 pages).
M. Joita - Factorization properties for undounded local positive maps, Indagationes Mathematicae 33 (2022), 905-917.
M. Joita - Unbounded local completely contractive maps, Bulletin of the Iranian Mathematical Society 48 (2022), 4015-4128.
G. Militaru - Crossed products of 4-algebras. Applications, Journal of Algebra 614 (2023), 251-270.
A.L. Agore, G. Militaru - Unified products for Jordan algebras. Applications, Journal of Pure and Applied Algebra 227 (2023), 107268.
A.L. Agore, G. Militaru - The factorization problem for Jordan algebras: applications, Collectanea Mathematica 74 (2023), 687-701.
E. Fricain, A. Hartmann, W.T. Ross, D. Timotin - Sharp estimates of the solutions to Bezout's polynomial equation and a corona theorem, The Journal of Geometric Analysis 33 (2023), 256 (25 pages).
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2023
A.L. Agore, G. Militaru - Universal constructions for Poisson algebras. Applications, Journal of Algebra 638 (2024), 32-56.
A.L. Agore - Functors between representation categories. Universal modules, Linear Algebra and its Applications 688 (2024), 104-119.
M. Joita - Local boundary representations for local operator systems, Journal of Mathematical Analysis and Applications 535 (2024), 128146.
G. Militaru - On the structure and classification of Bernstein algebras, Journal of Algebra and its Applications, 13 pages, to appear.
M. Joita - Extremal marginals of an unbounded local completely positive and local completely contractive map, Linear and Multilinear Algebra, 19 pages, to appear.
A.L. Agore, A. Chirvasitu, G. Militaru - The set-theoretic Yang-Baxter equation, Kimura semigroups and functional graphs, 49 pages, submitted for publication.
A. Chirvasitu, G. Militaru - A universal-algebra and combinatorial approach to the set-theoretic Yang-Baxter equation, 49 pages, submitted for publication.
E. Fricain, A. Hartmann, W.T. Ross, D. Timotin - An analytic approach to estimating the solutions of Bézout's polynomial identity, 27 pages, submitted for publication.
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Books
A. Agore - A First Course in Category Theory, 284+xiv pages, Universitext, Springer 2023, ISBN 978-3-031-42898-2.
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