Quasi-Small Principally-Injective Modules

Name: Passakorn Yordsorn

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 properties and characterizations of quasi-small principally-injective modules, (2) study properties and characterizations of endomorphism rings of quasi-small principally-injective modules, (3) extend the concepts of quasi-principally injective modules, and (4) find some relations between quasi-principally injective modules, quasi-small principally-injective modules and projective modules. 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 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 quasi-principally injective modules is extended to be quasi-small principally-injective modules. A right R-module N is called M-small principally-injective if every R-homomorphism from an M-cyclic small submodule of M to N can be extended to an R-homomorphism from M to N. A right R-module M is called quasi-small principally-injective if it is M-small 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: 2014-02-03

Issued: 2557-01-27

วิทยานิพนธ์/Thesis

application/pdf

CallNumber: THE QA 247 .P37

eng

DegreeName: Master of Science

Level: Master's Degree

Descipline: Mathematics

Grantor: Rajamanagala Univetsity of Technology Thanyaburi

©copyrights Rajamangala Univetsity of Technology Thanyaburi

ลำดับที่.	ชื่อแฟ้มข้อมูล	ขนาดแฟ้มข้อมูล	จำนวนเข้าถึง	วัน-เวลาเข้าถึงล่าสุด
1	1.Front.pdf	695.61 KB	3	2018-05-30 21:02:34
2	2.Chapter1.pdf	475.5 KB	3	2018-05-30 21:02:35
3	3.Chapter2.pdf	604.95 KB	3	2018-05-30 21:02:36
4	4.Chapter3 (No original 4-5).pdf	633.54 KB	3	2018-05-30 21:02:37
5	5.References.pdf	471.41 KB	3	2018-05-30 21:02:38
6	6.Appendices.pdf	4.02 MB	3	2018-05-30 21:02:41
7	7.Vitae.pdf	459.73 KB	3	2018-05-30 21:02:44

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