Pseudo Principally Quasi-Injective Modules And Pseudo Quasi-Principally Injective Modules

Name: Nonthit Goonwises

Address: Pathumthani

Organization : Rajamangala University of Technology Thanyaburi. Faculty of Science and Technology

ThaSH: Modules (Algebra)

Classification :.LCCS: QA 247

Abstract: The purposes of this thesis are to (1) study the properties and characterizations of pseudo principally quasi-injective modules and pseudo quasi-principally injective modules, (2) study the properties and characterizations of endomorphism rings of the two types of modules, (3) extend the concepts of principally quasi-injective modules and quasi-principally injective modules and (4) find some relations between among the four types of modules mentioned. Let R be a ring. A right R-module M is called principally injective if every R-homomorphism from a principal right ideal of R to M can be extended to an R-homomorphism from R to M. A right R-module N is called principally M-injective if every R-homomorphism from a principal submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called principally quasi-injective if it is principally M-injective. A right R-module N is called M-principally injective if every R-homomorphism from an M-cyclic submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called quasi-principally injective if it is M-principally injective. The notion of principally quasi-injective modules and quasi-principally injective modules are extended to be pseudo principally quasi-injective modules and pseudo quasi-principally injective modules, respectively. A right R-module N is called pseudo principally M-injective if every R-monomorphism from a principal submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called pseudo principally qausi-injective if it is pseudo principally M-injective. A right R-module N is called pseudo M-principally injective if every R-monomorphism from an M-cyclic submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called pseudo qausi-principally injective if it is pseudo M-principally injective…

Rajamangala University of Technology Thanyaburi

Address: PATHUM THANI

Email: elibrary@mail.rmutt.ac.th

Name: Assistant Professor Dr.Sarun Wongwai

Role: Adviser

Created: 2012

Modified: 2557-02-06

Issued: 2557-01-31

วิทยานิพนธ์/Thesis

application/pdf

CallNumber: THE QA 247 .N66

eng

DegreeName: Master of Science

Level: Master's Degree

Descipline: Mathematics

Grantor: Rajamanagala Univetsity of Technology Thanyaburi

©copyrights Rajamangala Univetsity of Technology Thanyaburi

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1	1.Front.pdf	649.99 KB	3	2018-05-30 21:09:00
2	2.Chapter1.pdf	498.74 KB	3	2018-05-30 21:09:01
3	3.Chapter2.pdf	681.32 KB	3	2018-05-30 21:09:02
4	4.Chapter3.pdf	632.42 KB	3	2018-05-30 21:09:03
5	5.References.pdf	478.91 KB	3	2018-05-30 21:09:04
6	6.Appendices.pdf	1.23 MB	3	2018-05-30 21:09:04
7	7.Vitae.pdf	471.28 KB	3	2018-05-30 21:09:05

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