Results 31 to 40 of about 231,292 (124)

Decomposition of topological Azumaya algebras in the stable range

, 2021
In this thesis, we establish decomposition theorems for topological Azumaya algebras, and topological Azumaya algebras with involutions of the first kind.
Arcila Maya, Niny Johanna
core   +1 more source

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
wiley   +1 more source

Azumaya locus over certain quantum symplectic spaces II

Comptes Rendus. Mathématique
This 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
doaj   +1 more source

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
wiley   +1 more source

Rigidity of quantum algebras

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
wiley   +1 more source

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

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi, Masaki Okada, Taizan Watari   +2 more
wiley   +1 more source

On the Witt group of the punctured spectrum of a regular semilocal ring

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract Let R$R$ be a regular semilocal ring of dimension 4q+1⩾5$4q+1\geqslant 5$ which contains 12$\frac{1}{2}$, l⩾1$l\geqslant 1$ the number of maximal ideals of R$R$ which are assumed to be all of the same height, and U$U$ the punctured spectrum of R$R$, that is, SpecR$\operatorname{Spec}R$ without the maximal ideals. We show that the Witt ring W(U)
Stefan Gille, Ivan Panin
wiley   +1 more source

Skew group rings which are Galois

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 279-283, 2000., 2000
Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′‐Galois extension of (S*G) G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G‐Galois extension of SG. A necessary and sufficient condition is also given for the commutator subring of (S*G) G′ in S*G to be a Galois
George Szeto, Lianyong Xue
wiley   +1 more source

Rings of Pure Global Dimension Zero and Mittag-leffler Modules [PDF]

, 1989
We investigate the rings over which every countably generated module is pure-projective and generalize the theory of rings of pure global dimension zero. This class of rings is studied in connection with Mittag-Leffler modules.
FACCHINI, ALBERTO, G. AZUMAYA, Azumaya, Goro   +2 more
core   +1 more source