Let R be a hereditary, indecomposable, left pure semisimple ring. Inspired by [I. Reiten, CM
Ringel, Infinite dimensional representations of canonical algebras, Canad. J. Math. 58 …

It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …

We study a class of modules which can be characterized using a duality theorem, called
finitistic n-self-cotilting. Such a module Q can be characterized using dual conditions of …

Full article: Relative Flatness, Mittag–Leffler Modules, and Endocoherence Skip to Main Content
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Let M be a right R-module with S= End (MR). Given two cardinal numbers α and β and a row-
finite matrix A∈ RFM β× α (S), SM is called injective relative to A if every left S …

M is called a P-coherent (resp. PP) module if its every principal submodule is finitely
presented (resp. projective). M is said to be a Baer module if the annihilator of its every …

R is called a Baer ring if the left annihilator of every nonempty subset of R is a direct
summand of RR. R is said to be a left AFG ring in case the left annihilator of every nonempty …

Let R be a ring and β× α (R)(ℝ β× α (R)) the set of all β× α full (row finite) matrices over
R where α and β≥ 1 are two cardinal numbers. A left R-module M is said to be “injective …

Let N be a left R-module with the endomorphism ring S= End (RN). Given two cardinal
numbers α and β and a matrix A∈ S β× α, N is called flat relative to A in case, for each x∈ lN …

We introduce the notion of ω-Gorenstein modules, where ω is a faithfully balanced self-
orthogonal module. This gives a common generalization of both Gorenstein projective …