Results 21 to 30 of about 98 (94)
On Hopf DeMeyer‐Kanzaki Galois extensions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 26, Page 1627-1632, 2003., 2003 Let H be a finite‐dimensional Hopf algebra over a field k, B a left H‐module algebra, and H∗ the dual Hopf algebra of H. For an H∗‐Azumaya Galois extension B with center C, it is shown that B is an H∗‐DeMeyer‐Kanzaki Galois extension if and only if C is a maximal commutative separable subalgebra of the smash product B#H.
George Szeto, Lianyong Xue
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There are enough Azumaya algebras on surfaces [PDF]
Mathematische Annalen, 2001 Using Maruyama's theory of elementary transformations, I show that the Brauer group surjects onto the cohomological Brauer group for separated geometrically normal algebraic surfaces. As an application, I infer the existence of nonfree vector bundles on proper normal algebraic surfaces.
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Modular representations of Loewy length two
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 70, Page 4399-4408, 2003., 2003 Let G be a finite p‐group, K a field of characteristic p, and J the radical of the group algebra K[G]. We study modular representations using some new results of the theory of extensions of modules. More precisely, we describe the K[G]‐modules M such that J2M = 0 and give some properties and isomorphism invariants which allow us to compute the number ...
M. E. Charkani, S. Bouhamidi
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Azumaya locus over certain quantum symplectic spaces II
Comptes Rendus. MathématiqueThis article undertakes an exploration of a particular variant of multiparameter quantum symplectic algebras, focusing specifically on the quantum Heisenberg algebra at the roots of unity.
Mukherjee, Snehashis
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On certain classes of Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 315-321, 2001., 2001 Relations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP‐Galois extensions), (2) faithfully Galois extensions, and (3) H‐separable Galois extensions. Moreover, it is shown that the intersection of the class of CP‐Galois extensions and the class of faithfully Galois extensions is the class ...
George Szeto, Lianyong Xue
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The closed socle of an Azumaya algebra [PDF]
Proceedings of the American Mathematical Society, 1980 If R is a Noetherian ring and A is an Azumaya algebra over R then an ideal H
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The resolution property via Azumaya algebras [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2021 Abstract Using formal-local methods, we prove that a separated and normal tame Artin surface has the resolution property. By proving that normal tame Artin stacks can be rigidified, we ultimately reduce our analysis to establishing the existence of Azumaya algebras.
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Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
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On weak center Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 489-495, 2001., 2001 Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, the notion of a center Galois extension of BG with Galois group G (i.e., C is a Galois algebra over CG with Galois group G|C≅G) is generalized to a weak center Galois extension with group G, where B is ...
George Szeto, Lianyong Xue
wiley +1 more source