Auslander and Ringel–Tachikawa have shown that for an artinian ring R of finite
representation type, every R-module is the direct sum of finitely generated indecomposable …

We survey some recent developments in understanding homological properties of finitely
generated modules over a complete intersection. These properties mainly concern with …

We study the category Morph (Mod-R) whose objects are all morphisms between two right R-
modules. The behavior of the objects of Mod-R whose endomorphism ring in Morph (Mod-R) …

Self-injective and PF endomorphism rings Page 1 ISRAEL JOURNAL OF MATHEMATICS, Vol.
58, No. 3, 1987 SELF-INJECTIVE AND PF ENDOMORPHISM RINGS BY JL GARCiA …

If R is an associative ring with identity, a theory of minimal flat resolutions is developed in the
category ((R-mod) op, Ab) of contravariant functors G:(R-mod) op→ Ab from the category R …

Given an s-unital ring $ R $, as defined by Tominaga in 1975, we show that the category of s-
unital $ R $-$ R $-bimodules is a unital monoidal category with the unit object $ R $ with …

The first section of this note is devoted to giving a unified proof of these results. This is
followed by showing that there exist abelian categories with an object C such that Ext'(C,.) …

In a previous paper, we constructed products for certain Ext-functors, in particular for where
Ax denotes the structure sheaf of an object X in a ringed site. If U is a covering of X, it must …

We start by surveying the tools of set–theoretic homological algebra that make it possible to
deconstruct roots of the contravariant Ext functor, ie., express them as transfinite extensions …

We study the notions of n-hereditary rings and its connection to the classes of finitely n-
presented modules, FP n-injective modules, FP n-flat modules and n-coherent rings. We …