An n-FC ring is a left and right coherent ring whose left and right self-FP-injective dimension
is n. The work of Ding and Chen shows that these rings possess properties which generalize …

We define model structures on exact categories, which we call exact model structures. We
look at the relationship between these model structures and cotorsion pairs on the exact …

Abstract We revisit Auslander–Buchweitz approximation theory and find some relations with
cotorsion pairs and model category structures. From the notion of relative generators, we …

A recent result by J. Šaroch and J. Šťovíček asserts that there is a unique abelian model
structure on the category of left R-modules, for any associative ring R with identity, whose …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …

We study the homotopy category KN (B) of N‐complexes of an additive category B and the
derived category DN (A) of an abelian category A. First we show that both KN (B) and DN (A) …

We show that the category of N N-complexes has a Strøm model structure, meaning the
weak equivalences are the chain homotopy equivalences. This generalizes the analogous …

The so-called Ding–Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injecitve dimensions at most n for some non-negative integer n. In …

A model structure on a category is a formal way of introducing a homotopy theory on that
category, and if the model structure is abelian and hereditary, its homotopy category is …

In this paper complexes with N-nilpotent differentials are considered. We describe the loop
functor Ω and the suspension functor Σ in the category CN (A) of N-complexes on an abelian …