Let $\Lambda $ be an artin algebra or, more generally, a locally bounded associative
algebra, and $\mathcal {S}(\Lambda) $ the category of all embeddings $(A\subseteq B) …

We study irreducible morphisms in the bounded derived category of finitely generated
modules over an Artin algebra Λ, denoted Db (Λmod), by means of the underlying category …

We generalize Ringel and Schmidmeier's theory on the Auslander–Reiten translation of the
submodule category 𝒮 2 (A) to the monomorphism category 𝒮 n (A); the category consists of …

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 …

If H is a hereditary abelian category with tilting object, then it is shown that H is derived
equivalent to a module category over a hereditary artin algebra provided H contains a …

Let $ A,\; B $ be artinian rings and let $ _A {M_B} $ be an $(AB) $-bimodule which is a
finitely generated left $ A $-module and a finitely generated right $ B $-module. A right $ _A …

Let Λ be an artin algebra. In his seminal Philadelphia Notes published in 1978, Auslander
introduced the concept of morphisms being determined by modules. Auslander was very …

Let A be an artin algebra and mod A the category of finitely generated left A-modules.
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …

We will study the relationship of quite different objects in the theory of artin algebras, namely
Auslander-regular rings of global dimension two, torsion theories, $\tau $-categories and …

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …