Let modA be the category of finitely generated right A-modules over an artin algebra⋀, and F
be an additive subfunctor of. Let P (F) denote the full sucategory of A with objects the F …

Using the Morita-type embedding, we show that any exact category with enough projectives
has a realization as a (pre) resolving subcategory of a module category. When the exact …

In this paper, we study, for an artin algebra, the class LA (and RA) which is a full subcategory
of the category modA of finitely generated A-modules, and which consists of all …

Let $\Lambda $ and $\Gamma $ be Artin algebras, $ M $ a $\Gamma-\Lambda $-bimodule,
and $ R $ the triangular matrix ring of $\Lambda,\Gamma $, and $ M $; assume that $ R $ is …

Let A be an artin algebra and modA the category of finitely generated A-modules. Unless
stated to the contrary, by a subcategory C of a category we mean a full subcategory of an …

INTRODUCTION. An artin algebra is an Artin ring which is a finitely generated module over
its center R, which is also an Artin ring. For an Artin algebra A we denote by mod (A) the …

We define right n-angulated categories, which are analogous to right triangulated
categories. Let 𝒞 be an additive category and 𝒳 a covariantly finite subcategory of 𝒞. We …

Let A be an artin algebra, ie, an artin ring that is a finitely generated module over its center
R, which is an artin ring, and let mod A denote the category of finitely generated (left) A …

Throughout this discussion R denotes a commutative artin ring with radical r. An R-algebra A
is said to be an artin R-algebra if it is finitely generated as an R-module. Suppose A is an …

Let R be a commutative Artin ring and H a hereditary abelian R-category which is Ext-finite,
that is HomH (X, Y) and Ext1 H (X, Y) are finitely generated R-modules for all X and Y in H …