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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …