Add to ORKGAbstract. For a commutative Noetherian local ring we define and study the class of modules having reducible complexity, a class containing all modules of finite complete intersection dimension. Various properties of this class of modules are given, together with results on the vanishing of homology and cohomology. 1
AbstractLet R be a local ring and M a finitely generated R-module. The complete intersection dimensi...
Abstract. LetR be a complete local ring of dimension d over a perfect field of prime characteristic ...
In this article we prove that if M is a finitely-generated module of dimension d with finite local c...
Abstract. We continue studying the class of modules having reducible com-plexity over a local ring. ...
AbstractLet (R,m) be a complete intersection, that is, a local ring whose m-adic completion is the q...
We study relations between properties of different types of resolutions of modules over a commutativ...
Abstract. Let R be local Noetherian ring of depth at least two. We prove that there are indecomposab...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
Abstract. We introduce a class of local Noetherian rings, which we call min-imal intersections, and ...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
Abstract. We study the vanishing of homology and cohomology of a module of finite complete intersect...
In this paper we study homological dimensions of finitely generated modules over commutative Noether...
Let A be a Noetherian local ring with maximal ideal [special characters omitted], and let M be a fin...
Let $(R,m)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen-Macaulay ring if the...
AbstractLet R be a local ring and M a finitely generated R-module. The complete intersection dimensi...
Abstract. LetR be a complete local ring of dimension d over a perfect field of prime characteristic ...
In this article we prove that if M is a finitely-generated module of dimension d with finite local c...
Abstract. We continue studying the class of modules having reducible com-plexity over a local ring. ...
AbstractLet (R,m) be a complete intersection, that is, a local ring whose m-adic completion is the q...
We study relations between properties of different types of resolutions of modules over a commutativ...
Abstract. Let R be local Noetherian ring of depth at least two. We prove that there are indecomposab...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
Abstract. We introduce a class of local Noetherian rings, which we call min-imal intersections, and ...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
Abstract. We study the vanishing of homology and cohomology of a module of finite complete intersect...
In this paper we study homological dimensions of finitely generated modules over commutative Noether...
Let A be a Noetherian local ring with maximal ideal [special characters omitted], and let M be a fin...
Let $(R,m)$ be commutative Noetherian local ring. It is shown that $R$ is Cohen-Macaulay ring if the...
AbstractLet R be a local ring and M a finitely generated R-module. The complete intersection dimensi...
Abstract. LetR be a complete local ring of dimension d over a perfect field of prime characteristic ...
In this article we prove that if M is a finitely-generated module of dimension d with finite local c...