Fuzzy intersection equations and primary representations
type: Item
instance of: scholarly article
title: Fuzzy intersection equations and primary representations
zbMATH Open document ID: 0923.13006
DOI: 10.1016/0165-0114(95)00321-5
author: John N. Mordeson
published in: Fuzzy Sets and Systems
publication date: 1999-10-28T00:00:00Z
review text: This paper contains two parts: In the last part the author gives explicit proofs of some results mentioned in an earlier joint paper with D. S. Malik [see \textit{D. S. Malik} and \textit{J. N. Mordeson}, Inf. Sci. 55, No. 1-3, 151-165 (1991; Zbl 0727.13013)]. These results concern uniqueness properties of a fuzzy primary representation of a fuzzy ideal of a commutative ring with identity, i.e. a fuzzy ideal being the Zadeh intersection of a finite number of fuzzy primary ideals. These proofs have been added because of the increasing importance of a fuzzy primary representation. The first part contains two sections, one on fuzzy generators and one of fuzzy intersection equations.
Mathematics Subject Classification ID: 13A99
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 13A15
zbMATH DE Number: 1064302
zbMATH Keywords: fuzzy primary representation
zbMATH Keywords: fuzzy ideal
zbMATH Keywords: fuzzy generators
zbMATH Keywords: fuzzy intersection equations
reviewed by: E. E. Kerre
MaRDI profile type: Publication
full work available at URL: 0165-0114(95)00321-5
OpenAlex ID: W2037999488
cites work: Fuzzy invariant subgroups and fuzzy ideals
cites work: Operations on fuzzy ideals
cites work: Fuzzy ideals of Artinian rings
cites work: Fuzzy maximal, radical, and primary ideals of a ring
cites work: Fuzzy primary representations of fuzzy ideals
cites work: Fuzzy algebraic varieties
cites work: Fuzzy Mealy machines
cites work: Fuzzy intersection equations
cites work: Rings with chain conditions
cites work: Fuzzy groups
cites work: Fuzzy sets
description: scientific article; zbMATH DE number 1064302