Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 1

On pseudo semi-projective modules

Pages
27–36
DOI
—

Abstract

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (see [11]). In this paper, we consider some generalizations of semi-projective module, that is quasi pseudo principally projective module. Some properties of this class of module are studied.

Özet

A right R-module M is called semi-projective if, for any submodule N of M, every epimorphism p: M \rightarrow N and every homomorphism a: M \rightarrow N, there exists a homomorphism b: M \rightarrow M such that p b = a (see [11]). In this paper, we consider some generalizations of semi-projective module, that is quasi pseudo principally projective module. Some properties of this class of module are studied.

Keywords: Key words: Semi-projective module, pseudo principally projective module