Add to ORKGAbstract. We continue studying the class of modules having reducible com-plexity over a local ring. In particular, a method is provided for computing an upper bound of the complexity of such a module, in terms of vanishing of certain cohomology modules. We then specialize to complete intersections, which are precisely the rings over which all modules have finite complexity. 1
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
Let A be a Noetherian local ring with maximal ideal [special characters omitted], and let M be a fin...
Abstract. We study the vanishing of homology and cohomology of a module of finite complete intersect...
Abstract. For a commutative Noetherian local ring we define and study the class of modules having re...
AbstractLet (R,m) be a complete intersection, that is, a local ring whose m-adic completion is the q...
AbstractThis two-part paper generalizes the usual notion of complexity and varieties for modules ove...
Abstract. Let R be local Noetherian ring of depth at least two. We prove that there are indecomposab...
It is a well-known result from Hartshorne that, in projective space over a field, every set-theoreti...
Let (R, m) be a complete intersection, that is, a local ring whose m-adic completion is the quotient...
AbstractSuppose that G is a finite group and that k is an algebraically closed field of characterist...
In this paper we determine, for all (Formula presented.) sufficiently large, the irreducible compone...
AbstractWe consider finitely generated torsionfree modules over one-dimensional, reduced, commutativ...
AbstractLet a denote an ideal of a local ring (R,m). Let M be a finitely generated R-module. There i...
Abstract. Let R be a local ring and M,N be finitely generated R-modules. The complexity of (M,N), de...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
Let A be a Noetherian local ring with maximal ideal [special characters omitted], and let M be a fin...
Abstract. We study the vanishing of homology and cohomology of a module of finite complete intersect...
Abstract. For a commutative Noetherian local ring we define and study the class of modules having re...
AbstractLet (R,m) be a complete intersection, that is, a local ring whose m-adic completion is the q...
AbstractThis two-part paper generalizes the usual notion of complexity and varieties for modules ove...
Abstract. Let R be local Noetherian ring of depth at least two. We prove that there are indecomposab...
It is a well-known result from Hartshorne that, in projective space over a field, every set-theoreti...
Let (R, m) be a complete intersection, that is, a local ring whose m-adic completion is the quotient...
AbstractSuppose that G is a finite group and that k is an algebraically closed field of characterist...
In this paper we determine, for all (Formula presented.) sufficiently large, the irreducible compone...
AbstractWe consider finitely generated torsionfree modules over one-dimensional, reduced, commutativ...
AbstractLet a denote an ideal of a local ring (R,m). Let M be a finitely generated R-module. There i...
Abstract. Let R be a local ring and M,N be finitely generated R-modules. The complexity of (M,N), de...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
Let A be a Noetherian local ring with maximal ideal [special characters omitted], and let M be a fin...
Abstract. We study the vanishing of homology and cohomology of a module of finite complete intersect...