Results 31 to 40 of about 109,686 (120)

On Galois projective group rings

International Journal of Mathematics and Mathematical Sciences, 1991
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in ​A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj   +1 more source

Morita equivalences and Azumaya loci from Higgsing dimer algebras [PDF]

, 2016
Let ψ:A→A' be a cyclic contraction of dimer algebras, with A non-cancellative and A′ cancellative. A' is then prime, noetherian, and a finitely generated module over its center.
Charlie Beil, Beil, Charlie
core   +1 more source

The wonderful compactification for quantum groups

Journal of the London Mathematical Society, Volume 99, Issue 3, Page 778-806, June 2019., 2019
Abstract In this paper, we introduce a quantum version of the wonderful compactification of a group as a certain noncommutative projective scheme. Our approach stems from the fact that the wonderful compactification encodes the asymptotics of matrix coefficients, and from its realization as a GIT quotient of the Vinberg semigroup.
Iordan Ganev
wiley   +1 more source

On Azumaya Galois extensions and skew group rings

International Journal of Mathematics and Mathematical Sciences, 1999
Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois
George Szeto
doaj   +1 more source

Subring Depth, Frobenius Extensions, and Towers

International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012
The minimum depth d(B, A) of a subring B⊆A introduced in the work of Boltje, Danz and Külshammer (2011) is studied and compared with the tower depth of a Frobenius extension. We show that d(B, A) < ∞ if A is a finite‐dimensional algebra and Be has finite representation type.
Lars Kadison, Tomasz Brzezinski
wiley   +1 more source

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.
openaire   +2 more sources

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
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 characterizations of a center Galois extension

International Journal of Mathematics and Mathematical Sciences, 2000
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, it is shown that B is a center Galois extension of BG (that is, C is a Galois algebra over CG with ...
George Szeto, Lianyong Xue
doaj   +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