An Artin algebra is by definition virtually Gorenstein if the class of modules which are right
orthogonal (with respect to $\operatorname {Ext}^*(-,-) $) to all Gorenstein projective …

In the study of standardly stratified algebras and stratifying systems, we find an object which
is either a tilting module or one whose properties strongly remind us of a tilting module. This …

In Section l we recall some of the features of Frobenius categories in the setup we need. In
particular, we give an Interpretation of the triangles in a Frobenius category in term of exact …

The trivial extensions of a quasi-abelian category by means of a fully exact endofunctor are
again quasi-abelian. Using the one-to-one correspondence between quasi-abelian …

Let $\land $ be an artin algebra. This paper presents a sufficient condition for the
subcategory $\mathcal {P}^{i}(\land) $ of $\mod\land $ to be contravariantly finite in …

Let Λ be an Artin algebra over a commutative Artin ring R and let modΛ be the category of
finitely generated left Λ-modules. For a module M∈ modΛ, we denote by pdΛ M the …

The monomorphism category M (A, M, B) induced by a bimodule MBA is the subcategory of
Λ-mod consisting of [XY] ϕ such that ϕ: M⊗ BY→ X is a monic A-map, where Λ=[AM 0 B] …

We know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …

(1) Exta (T, T)= 0,(2) Ext:(T,-)= 0,(3) There is a short exact sequence 0--+ A,+ T>+ T”+ 0, with
T', T” being direct sums of summands of T. Then putting B= End T, we call (B, T, A) and …