Fuzzy partitions and fuzzy-quotient rings
type: Item
instance of: scholarly article
title: Fuzzy partitions and fuzzy-quotient rings
zbMATH Open document ID: 0790.16003
DOI: 10.1016/0165-0114(93)90360-T
author: Samy El-Badawy Yehia
published in: Fuzzy Sets and Systems
publication date: 1994-06-30T00:00:00Z
review text: The cosets of a fuzzy ideal \(M\) in a ring \(A\) form another ring \(A/M\), called the fuzzy-quotient ring of \(A\) by \(M\). We show that \(A/M\) is always a fuzzy partition of \(A\), and a fuzzy partition of \(A\) will be a fuzzy-quotient ring (with respect to some fuzzy ideal) if and only if its associated fuzzy similarity relation is compatible with the ring operations.
Mathematics Subject Classification ID: 16D10
Mathematics Subject Classification ID: 16D80
zbMATH DE Number: 487501
zbMATH Keywords: fuzzy-quotient ring
zbMATH Keywords: fuzzy partition
zbMATH Keywords: fuzzy similarity relation
MaRDI profile type: Publication
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full work available at URL: 0165-0114(93)90360-t
OpenAlex ID: W2082639241
description: scientific article; zbMATH DE number 487501