We investigate the (separated) monomorphism category $\operatorname
{mono}(Q,\Lambda) $ of a quiver over an Artin algebra $\Lambda $. We show that there …

In this paper we systematically consider representations over diagrams of abelian
categories, which unify quite a few notions appearing widely in literature such as …

Given a Frobenius pair in a module category, we describe how to construct Frobenius pairs
in some other important abelian categories, such as the category of complexes of modules …

This is the second one of the serial papers studying representations over diagrams of
abelian categories. We show that under certain conditions a compatible family of abelian …

We consider a representation $\mathscr U:\mathbb Q\longrightarrow Mnd (\mathcal C) $ of a
quiver $\mathbb Q $ taking values in monads over a Grothendieck category $\mathcal C …

Let Rep (Q, R) be the category of representations of R-modules over the linear quiver $
Q=(\bullet\rightarrow\bullet\rightarrow\cdots\rightarrow\bullet) $. It is mainly studied and …

We study and relate categories of modules, comodules and contramodules over a
representation of a small category taking values in (co) algebras, in a manner similar to …

Let Q be a finite acyclic quiver and Rep (Q, R) be the category of representations of Q with
values in category of R-modules. It is shown that a representation X∈ Rep (Q, R) is a …