Results 21 to 30 of about 2,189 (114)

On separable abelian extensions of rings

International Journal of Mathematics and Mathematical Sciences, 1982
Let R be a ring with 1, G(=〈ρ1〉×…×〈ρm〉) a finite abelian automorphism group of R of order n where 〈ρi〉 is cyclic of order ni. for some integers n, ni, and m, and C the center of R whose automorphism group induced by G is isomorphic with G.
George Szeto
doaj   +1 more source

Corestriction for algebras with group action [PDF]

, 2015
We define a corestriction map for equivariant Brauer groups in the sense of Fr\"ohlich and Wall, which contain as a special case the Brauer-Clifford groups introduced by Turull.
Ladisch, Frieder
core   +1 more source

Cancellation of Azumaya algebras

Journal of Algebra, 1971
Ojanguren, M, Sridharan, R
exaly   +3 more sources

On free ring extensions of degree n

International Journal of Mathematics and Mathematical Sciences, 1981
Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of  B), and {1,x…,xn−1} is a basis.
George Szeto
doaj   +1 more source

On the Brauer Group of an Arithmetic Model of a Variety over a Global Field of Positive Characteristic

Моделирование и анализ информационных систем, 2016
Let V be a smooth projective variety over a global field k = κ(C) of rational functions on a smooth projective curve C over a finite field Fq of characteristic p.
T. V. Prokhorova
doaj   +1 more source

On central commutator Galois extensions of rings

International Journal of Mathematics and Mathematical Sciences, 2000
Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
doaj   +1 more source

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

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