We study coherence properties of a module M over its endomorphism ring. Hereby we
extend to modules known characterizations of coherent and π-coherent rings. Moreover, we …

We study the interplay between the notions of n-coherent rings and finitely n-presented
modules, and also study the relative homological algebra associated to them. We show that …

1. Preliminaries. For rings with identity, well known proper inclusions exist among the
classes of semisimple, left hereditary, left semihereditary, left noetherian, yon Neumann …

According to Bourbaki [1, pp. 62–63, Exercise 11], a left (resp. right) A-module M is said to
be pseudo-coherent if every finitely generated submodule of M is finitely presented, and is …

This paper unifies several generalizations of coherent rings in one notion. Namely, we
introduce nX-coherent rings, where X is a class of modules and n is a positive integer, as …

The category of left modules over right coherent rings of finite weak global dimension has
several nice features. For example, every left module over such a ring has a flat cover …

Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite
projective dimension. We consider ℱ 𝒫 n (R) the full subcategory of R-Mod of finitely n …

We show that for a linearly compact module over a local ring (R, 𝔪), the concept of co-
support of modules provided by Melkersson is equivalent with Yassemi's concept. We also …

In this paper, we introduce the notion of “P-coherent rings” which is a generalization of the
notion of “coherent rings”. Then we establish the transfer of this notion to pullbacks, direct …

Commutative coherent rings form a standard class of rings which include commutative
Noetherian rings. The notion of completion with respect to a maximal ideal is also stan-dard …