In the last two decades Cohen-Macaulay rings and modules have been central topics in
commutative algebra. This book meets the need for a thorough, self-contained introduction …

Determinantal rings and varieties have been a central topic of commutative algebra and
algebraic geometry for several decades. Numerous researchers have contributed to the …

The study of Schur functors has a relatively long history. Its main impetus derived from
representation theory, originally in characteristic zero. Over the years, however, with the …

In this paper the asymptotic behavior of the Castelnuovo $ ndash; Mumford regularity of
powers of a homogeneous ideal I is studied. It is shown that there is a linear bound for the …

Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

We consider the ring S= C [xij] of polynomial functions on the vector space C m× n of
complex m× n matrices. We let GL= GL m (C)× GL n (C) and consider its action via row and …

This book focuses on homological aspects of equivariant modules. It presents a new
homological approximation theory in the category of equivariant modules, unifying the …

For positive integers m≥ n≥ p, we compute the GL m× GL n-equivariant description of the
local cohomology modules of the polynomial ring S= Sym (ℂ m⊗ ℂ n) with support in the …

We consider the problem of computing a grevlex Gröbner basis for the set Fr (M) of minors of
size r of an n× n matrix M of generic linear forms over a field of characteristic zero or large …

We compute the GL-equivariant description of the local cohomology modules with support in
the ideal of maximal minors of a generic matrix, as well as of those with support in the ideal …