On prime and primary fuzzy ideals and their radicals
type: Item
instance of: scholarly article
title: On prime and primary fuzzy ideals and their radicals
zbMATH Open document ID: 0796.16005
DOI: 10.1016/0165-0114(93)90174-G
author: H. V. Kumbhojkar
author: M. S. Bapat
published in: Fuzzy Sets and Systems
publication date: 1994-01-27T00:00:00Z
review text: In the fuzzification of concepts from ring theory, the concepts of prime and primary ideals have played an important role. There are several ways in which these concepts have been fuzzified. In this paper, a comparison of the various definitions of prime and primary fuzzy ideals is given. The strengths and weaknesses of these definitions are noted. The authors also show that the definition of the nil radical of a fuzzy ideal is equivalent to the definition of the prime radical of a fuzzy ideal.
reviewed by: John N. Mordeson
Mathematics Subject Classification ID: 16D25
Mathematics Subject Classification ID: 16N40
zbMATH DE Number: 487466
zbMATH Keywords: prime and primary fuzzy ideals
zbMATH Keywords: nil radical
zbMATH Keywords: prime radical
MaRDI profile type: Publication
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full work available at URL: 0165-0114(93)90174-g
OpenAlex ID: W2085729286
description: scientific article; zbMATH DE number 487466