… Gorenstein dimension of finitely generated modules over noetherian algebras. To be precise,
assume that (R,m) is a commutative noetherian local ring … finite injective dimension as a left …

… In this paper we assume that R is a Gorenstein Noetherian ring. We show that if (R, m) is
also a local ring with Krull dimension d that is less than or equal to 2, then for any nonzero ideal …

… class of rings over which the Gorenstein flat dimension is well … the Gorenstein flat dimension
over a new class of rings … of modules and homomorphisms over direct products of rings (for …

… in w the behavior of Gorenstein rings of dimension one. This … An important example of
Gorenstein ring of dimension one is … (t) m (4) We need only show that every homomorphism /:91-+…

… This paper deals with Gorenstein algebras and categories, … support for modules over finite
dimensional algebras. First we give … ∗ (Λ)-module structure by the graded ring homomorphism …

… ring and σ: K → S a flat homomorphism of rings, which is essentially of finite type; σ is said to
be Cohen– Macaulay or Gorenstein if its fiber rings … Gdimension (for Gorenstein dimension), …

… ring over a field k of characteristic different from two and let S = R/I be a codimension four
Gorenstein quotient with the same embedding dimension e … an augmentation homomorphism …

We prove that a finite dimensional algebra $A$ with representation-finite subcategory … that
are semi-Gorenstein-projective and $n$-th syzygy modules is left weakly Gorenstein. This …

… ring R of characteristic p is Gorenstein if and only if it possesses a nonzero finitely generated
module of finite projective dimension that has finite G-dimension … is a ring homomorphism, …

… As a consequence, for any Cohen–Macaulay local ring (R,m) of dimension one we solve in
… via the ring homomorphism F . Then we say that A is F -pure, if the homomorphism F : A → B …