For a finite acyclic quiver Q, an ideal I of a path algebra kQ generated by monomial relations,
and a finite-dimensional k-algebra A, we introduce the separated monic representations of a …

This paper looks for Frobenius subcategories, via the separated monomorphism category
$\operatorname {smon}(Q, I,\mathscr {X}) $, and on the other hand, aims to establish an RSS …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

Inspired by recent results of Ringel–Schmidmeier, Kussin–Lenzing–Meltzer, Xiao-Wu Chen,
and Pu Zhang, given a field K, m≥ 1, and a finite poset I≡(I,⪯) with a unique maximal …

We construct two functors from the submodule category of a representation-finite self-
injective algebra Λ to the module category of the stable Auslander algebra of Λ. These …

We generalize the monomorphism category from quiver (with monomial relations) to
arbitrary finite dimensional algebras by a homological definition. Given two finite dimension …

The paper is an addition to our article Simson (2015)[37]. Given a field K, an integer m≥ 1,
and a finite poset I≡(I,⪯) with a unique maximal element⁎, we study the category M on (I, F …

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 show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

We introduce a very general extension of the monomorphism category as studied by Ringel
and Schmidmeier which in particular covers generalized species over locally bounded …