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 …

This paper could be regarded as continuation of [7] by AK Gupta and K. Varadarajan.
Throughout this paper we will be following the standard convention in ring theory. The rings …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 51, Issue 1 2009 Article 6 A NOTE ON ALMOST INJECTIVE MODULES …

A right R-module M is called quasi-principally injective if every homomorphism from an M-
cyclic submodule of M to M can be extended to M. Let M be a quasi-principally injective …

Let R be a ring. A right R− module M is called quasi-principally injective if it is M− principally
inj ective. In this paper, we give some characterizations and properties of principally inj …

The goal of this work is to develop a functional transfer of properties between a module A
and the category* M* E of right modules over its endomorphism ring* E that is more sensitive …

Alt the rings we consider will be associative with 1~ 0; all the ring homomorphisms will be
required to preserve the identity elements. All the modules we consider will be unitary …

Let M be a left module over a ring R. A submodule N of M is called locally split in M if for
each x EN there exists a homomorphism h: Mt N such that h (x)= x. It is shown that if N is …

Until further notice, we assume that R is a ring (with unity) and S is a multiplicatively closed
set of regular elements of R such that R satisfies the multiplicity condition with respect to S …