… submodules in positive dimension are not finitely generated. Our goal is to give constructive
and finite procedures for the construction of Gorenstein k-algebras of dimension one and …

… If A is self-injective, then all modules are reflexive. Marczinzik … -injective in case all the
simple modules are reflexive. Here, we exhibit an 8-dimensional algebra which is not self-injective, …

… Dually, we have the notion of (X, Y)-Gorenstein injective objects and their dimensions. …
Given a class A ⊆ Mod(Rop), we define the left weak Gorenstein global dimension relative to the …

… Recall that Λ is said to be a Gorenstein k -algebra provided that Λ has finite injective dimension
as … In particular, algebras of finite global dimension as well as self-injective algebras are …

… Suppose R is a F-finite and F-pure Q-Gorenstein local ring of … compatible, in an F-pure ring,
all trace ideals are radical and … of a quasi-Gorenstein and Q-Gorenstein ring, as well as Weil …

… ring and n ⩾ 1 be an integer. We introduce and study the notions of Gorenstein n-FP-gr-injective
and Gorenstein n-gr-… rings, we investigate the relationships between Gorenstein n-FP-gr-…

… if AM has finite flat dimension, then the 〈IA〉-injective dimension of HomB(M,E) is finite
for … Moreover, since MB has finite FP-injective dimension and FIB ⊆ 〈IB〉, MB has finite 〈IB〉-…

… Tilting theory also gives a powerful tool to study the stable categories of Gorenstein rings. …
We show that Γ has self-injective dimension at most 2 and possibly infinite global dimension. …

… In this way, we extend the main result of [14] from the case of commutative Noetherian
rings of finite self-injective dimension to any commutative ℵ0-Noetherian ring of coefficients. …

… The basic property of such a ring R is that, an R-module M has finite flat dimension if and
only if it has finite injective dimension (moreover, the upper bound is also finite). Because of this …