Add to ORKGCopyright © Glasgow Mathematical Journal Trust 2016Let H be a Hopf algebra with a bijective antipode, A an H-simple H-module algebra finitely generated as an algebra over the ground field and module-finite over its centre. The main result states that A has finite injective dimension and is, moreover, Artin–Schelter Gorenstein under the additional assumption that each H-orbit in the space of maximal ideals of A is dense with respect to the Zariski topology. Further conclusions are derived in the cases when the maximal spectrum of A is a single H-orbit or contains an open dense H-orbit
A Gorenstein module over a local ring R is a maximal Cohen– Macaulay module of finite injective dime...
AbstractA new homological dimension, called G*-dimension, is defined for every finitely generated mo...
One of the open problems in Gorenstein homological algebra is: when is the class of Gorenstein injec...
Copyright © Glasgow Mathematical Journal Trust 2016Let H be a Hopf algebra with a bijective antipode...
© 2016 Glasgow Mathematical Journal Trust.Let H be a Hopf algebra with a bijective antipode, A an H-...
Dedicated to Professor Kent R. Fuller on his 60th birthday We will study modules of the highest inje...
For a Hopf algebra H and an H-module algebra A module-finite over its center it is proved that there...
This book is intended as a reference for mathematicians working with homological dimensions in commu...
AbstractGorenstein homological dimensions are refinements of the classical homological dimensions, a...
Purpose: H. Holm\u27s metatheorem states, Every result in classical homological algebra has a coun...
AbstractLet k be a field and H a Hopf algebra over k with a bijective antipode. Suppose that H acts ...
Abstract. For homomorphism σ: K → S of commutative rings, where K is Gorenstein and S is essentially...
In our discussion of Frobenius algebras [2], we mentioned finite dimensional Hopf algebras as an imp...
Abstract. Gorenstein homological dimensions are refinements of the classi-cal homological dimensions...
We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules over a complet...
A Gorenstein module over a local ring R is a maximal Cohen– Macaulay module of finite injective dime...
AbstractA new homological dimension, called G*-dimension, is defined for every finitely generated mo...
One of the open problems in Gorenstein homological algebra is: when is the class of Gorenstein injec...
Copyright © Glasgow Mathematical Journal Trust 2016Let H be a Hopf algebra with a bijective antipode...
© 2016 Glasgow Mathematical Journal Trust.Let H be a Hopf algebra with a bijective antipode, A an H-...
Dedicated to Professor Kent R. Fuller on his 60th birthday We will study modules of the highest inje...
For a Hopf algebra H and an H-module algebra A module-finite over its center it is proved that there...
This book is intended as a reference for mathematicians working with homological dimensions in commu...
AbstractGorenstein homological dimensions are refinements of the classical homological dimensions, a...
Purpose: H. Holm\u27s metatheorem states, Every result in classical homological algebra has a coun...
AbstractLet k be a field and H a Hopf algebra over k with a bijective antipode. Suppose that H acts ...
Abstract. For homomorphism σ: K → S of commutative rings, where K is Gorenstein and S is essentially...
In our discussion of Frobenius algebras [2], we mentioned finite dimensional Hopf algebras as an imp...
Abstract. Gorenstein homological dimensions are refinements of the classi-cal homological dimensions...
We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules over a complet...
A Gorenstein module over a local ring R is a maximal Cohen– Macaulay module of finite injective dime...
AbstractA new homological dimension, called G*-dimension, is defined for every finitely generated mo...
One of the open problems in Gorenstein homological algebra is: when is the class of Gorenstein injec...