To Karin Erdmann on her 60th birthday. Abstract. A general method for establishing results over a commutative complete intersection local ring by passing to differential graded modules over a graded exterior algebra is described. It is used to deduce, in a uniform way, results on the growth of resolutions of complexes over such local rings
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
This dissertation consists of two parts, both under the overarching theme of resolutions over a comm...
Let M be a finite module over a ring R obtained from a commutative ring Q by factoring out an ideal...
Dedicated to Paul C. Roberts on the occasion of his sixtieth birthday Abstract. Let R be a commutati...
dissertationIn Chapter 2, we compute a semi-free resolution of the Koszul complex over its endomorph...
It is a well-known result from Hartshorne that, in projective space over a field, every set-theoreti...
We investigate two algebraic properties of Ext-modules over a complete intersection R of codimension...
We investigate two algebraic properties of Ext-modules over a complete intersection R of codimension...
Let $A$ be a noetherian ring whose maximal spectrum has dimension at most 1. For instance, $A$ can b...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Abstract. A differential module is a module equipped with a square-zero endomorphism. This structure...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
Abstract. Let (R,m, k) be a local Gorenstein ring of dimension n. Let HiI,J (R) be the local cohomol...
AbstractAn ideal I of a local Gorenstein ring (R,m) is called cohomologically complete intersection ...
A differential module is a module equipped with a square-zero endomorphism. This structure underpin...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
This dissertation consists of two parts, both under the overarching theme of resolutions over a comm...
Let M be a finite module over a ring R obtained from a commutative ring Q by factoring out an ideal...
Dedicated to Paul C. Roberts on the occasion of his sixtieth birthday Abstract. Let R be a commutati...
dissertationIn Chapter 2, we compute a semi-free resolution of the Koszul complex over its endomorph...
It is a well-known result from Hartshorne that, in projective space over a field, every set-theoreti...
We investigate two algebraic properties of Ext-modules over a complete intersection R of codimension...
We investigate two algebraic properties of Ext-modules over a complete intersection R of codimension...
Let $A$ be a noetherian ring whose maximal spectrum has dimension at most 1. For instance, $A$ can b...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
Abstract. A differential module is a module equipped with a square-zero endomorphism. This structure...
Let R be a commutative noetherian ring. A well-known theorem in commutative algebra states that R is...
Abstract. Let (R,m, k) be a local Gorenstein ring of dimension n. Let HiI,J (R) be the local cohomol...
AbstractAn ideal I of a local Gorenstein ring (R,m) is called cohomologically complete intersection ...
A differential module is a module equipped with a square-zero endomorphism. This structure underpin...
We investigate the cohomology of modules over commutative complete intersection rings. The first mai...
This dissertation consists of two parts, both under the overarching theme of resolutions over a comm...
Let M be a finite module over a ring R obtained from a commutative ring Q by factoring out an ideal...