[图书][B] Semigroup algebras
J Okninski - 2020 - taylorfrancis.com
Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily
drawing on the literature of the last 10 years, and including several new results. Okninski …
drawing on the literature of the last 10 years, and including several new results. Okninski …
[图书][B] Modules and algebras: bimodule structure on group actions and algebras
R Wisbauer - 1996 - books.google.com
Module theory over commutative asociative rings is usually extended to noncommutative
associative rings by introducing the category of left (or right) modules. An alternative to this …
associative rings by introducing the category of left (or right) modules. An alternative to this …
Noncommutative Fitting invariants and improved annihilation results
H Johnston, A Nickel - Journal of the London Mathematical …, 2013 - Wiley Online Library
To each finitely presented module M over a commutative ring R, one can associate an R‐
ideal FitR (M) which is called the (zeroth) Fitting ideal of M over R, and which is always …
ideal FitR (M) which is called the (zeroth) Fitting ideal of M over R, and which is always …
[图书][B] Graded orders
In a clear, well-developed presentation this book provides the first systematic treatment of
structure results for algebras which are graded by a goup. The fruitful method of constructing …
structure results for algebras which are graded by a goup. The fruitful method of constructing …
Skew group rings which are Azumaya
R Alfaro, G Szeto - Communications in Algebra, 1995 - Taylor & Francis
If S is a ring with 1, and G is a finite group acting faithfully as automorphisms of S, then it is
well known that the skew group ring S* G is a separable extension of S if and only if there …
well known that the skew group ring S* G is a separable extension of S if and only if there …
An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
H Johnston, A Nickel - arXiv preprint arXiv:2010.03186, 2020 - arxiv.org
Let $ p $ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main
conjecture for totally real fields for every admissible one-dimensional $ p $-adic Lie …
conjecture for totally real fields for every admissible one-dimensional $ p $-adic Lie …
Brauer groups for commutative S-algebras
We investigate a notion of Azumaya algebras in the context of structured ring spectra and
give a definition of Brauer groups. We investigate their Galois theoretic properties, and …
give a definition of Brauer groups. We investigate their Galois theoretic properties, and …
On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results
H Johnston, A Nickel - Transactions of the American Mathematical Society, 2016 - ams.org
Let $ L/K $ be a finite Galois extension of number fields with Galois group $ G $. Let $ p $ be
a prime and let $ r\leq 0$ be an integer. By examining the structure of the $ p $-adic group …
a prime and let $ r\leq 0$ be an integer. By examining the structure of the $ p $-adic group …
Azumaya extensions and Galois correspondence
M Ouyang - Algebra Colloquium, 2000 - Springer
For H a finite-dimensional Hopf algebra over a field k, we study H*-Galois Azumaya
extensions A, ie, A is an H-module algebra which is H*-Galois with A/AH separable and AH …
extensions A, ie, A is an H-module algebra which is H*-Galois with A/AH separable and AH …
Abundant semigroup algebras which are Azumaya
J Guo, X Guo - Semigroup Forum, 2021 - Springer
It is proved that any Azumaya semigroup algebra of an abundant semigroup over a field is a
subdirect product of matrix algebras over Azumaya semigroup algebras of cancellative …
subdirect product of matrix algebras over Azumaya semigroup algebras of cancellative …