Results 21 to 30 of about 231,292 (124)
Motives of Azumaya algebras [PDF]
Journal of the Institute of Mathematics of Jussieu, 2010 AbstractWe study the slice filtration for theK-theory of a sheaf of Azumaya algebrasA, and for the motive of a Severi-Brauer variety, the latter in the case of a central simple algebra of prime degree over a field. Using the Beilinson–Lichtenbaum conjecture, we apply our results to show the vanishing ofSK2(A) for a central simple algebraAof square-free
Kahn, Bruno, Levine, Marc
openaire +2 more sources
The automorphisms of generalized cyclic Azumaya algebras [PDF]
, 2021 We define a nonassociative generalization of cyclic Azumaya algebras employing skew polynomial rings $D[t;\sigma]$, where $D$ is an Azumaya algebra of constant rank with center $C$ and $\sigma$ an automorphism of $D$, such that $\sigma|_{C}$ has finite ...
Pumpluen, S
core +1 more source
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
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
Structure theorems of H4-Azumaya algebras [PDF]
, 2006 Let k be a field and H4 be Sweedler's 4-dimensional algebra over k. It is well known that H4 has a family of triangular structures Rt indexed by the ground field k and each triangular structure Rt makes the H4-module category MH4 a braided monoidal ...
Chen, Hui-Xiang +2 more
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
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
Constructive Remarks on Azumaya Algebra
, 2023 We study etale topology and the notion of Azumaya algebra over a commutative ring constructively. As an application of the syntactic version of Barr's Theorem, we show the equivalence between two definitions of Azumaya ...
Neuwirth, Stefan +2 more
core