Fuzzy quotient modules

The concept of fuzzy modules was introduced in [1]. In this paper we construct fuzzy quotient modules. First, we introduce prime submodules and construct the fuzzy quotient module of an arbitrary fuzzy divisible module by its fuzzy prime submodule. Furthermore, by means of the localization of rings...

Full description

Saved in:
Bibliographic Details
Published in:Fuzzy sets and systems 1988, Vol.28 (1), p.85-90
Main Author: Pan, Fu-Zheng
Format: Article
Language:English
Subjects:
Fuzzy module
Fuzzy quotient module
Fuzzy submodule
Localization of rings
Prime submodule
Torsion submodule
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The concept of fuzzy modules was introduced in [1]. In this paper we construct fuzzy quotient modules. First, we introduce prime submodules and construct the fuzzy quotient module of an arbitrary fuzzy divisible module by its fuzzy prime submodule. Furthermore, by means of the localization of rings [2] we extend a fuzzy divisible module and its arbitrary fuzzy submodule to a large region and establish the fuzzy quotient module for the localized fuzzy modules. Finally, we construct the fuzzy quotient module for a fuzzy divisible module and its arbitrary fuzzy submodule, in a reasonable way. This generalization extends the concept of fuzzy quotient to a large number of fuzzy modules, of course, including fuzzy quotient vector spaces.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(88)90118-2