Some classes of injectivity and projectivity

Other Title(s)

بعض أصناف الاغمارية و الإسقاطية

Dissertant

Ali, Muna Jasim Muhammad

Thesis advisor

Naum, Adil Ghassan

University

University of Baghdad

Faculty

College of Science

Department

Mathematics Department

University Country

Iraq

Degree

Ph.D.

Degree Date

2006

English Abstract

Let M be an R-module with endomorphism ring S.

The module M is called quasi-principally injective, if every R-homomorphism from Mcyclic submodule K of M to M can be extended to an endomorphism of M.

An R-module N is called M-mininjective, if every R-homomorphism from simple M-cyclic submodule L of M to N can be extended to an Rhomomorphism from M to N.

An R-module M is called quasimininjective , if it is M-mininjective .

An R-module N is called Mprincipally projective, if every R-homomorphism from N to M-cyclic submodule K of M can be lifted to an R-homomorphism from N to M.

These concepts were studied by Chotchaisthit and Wongwai.

In this work, we introduce the notion of principally M-pseudo injective ,Msimple injective, simple M-projective, M-minprojective and we study quasi principally projective modules and M-mininjective .

We give the detail of proofs of known results, supply some examples, and add new results.

Main Subjects

Mathematics

Topics

• Algebraic fields

No. of Pages

94

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-603021