On the direct sum of MinC11 and MaxC11 modules

In this paper, we defined minC11 and maxC11 modules M over associative ring R with identity and find out further properties, characterization of direct sum of minC11 and maxC11 modules and some related basic properties. The main results were any direct sum of modules with minC11 satisfies minC11 and...

Full description

Saved in:
Bibliographic Details
Main Authors: Rayalong, Hagim, Chairat, Sarapee
Format: Conference Proceeding
Language:English
Subjects:
Modules
Rings (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we defined minC11 and maxC11 modules M over associative ring R with identity and find out further properties, characterization of direct sum of minC11 and maxC11 modules and some related basic properties. The main results were any direct sum of modules with minC11 satisfies minC11 and also for maxC11. In particular we give the conditions for the direct summand of minC11-module is minC11−module. Moreover for a commutative ring R, if M is a faithful, finitely generating and multiplication R-module, then M satisfies minC11 (maxC11) if and only if R satisfies minC11 (maxC11).
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5054246