Two new types of rings defined by using a translational invariant fuzzy subset
type: Item
instance of: scholarly article
title: Two new types of rings defined by using a translational invariant fuzzy subset
zbMATH Open document ID: 1213.13018
DOI: 10.1155/2010/258947
author: Manal Ghanem
published in: Advances in Fuzzy Systems
publication date: 2011-05-24T00:00:00Z
review text: Summary: We use a translational invariant fuzzy subset \(p\) of a ring \(R\) to define two new types of commutative rings namely, \(p\)-presimplifiable and \(p\)-associate rings. We present some results of these rings. The interest of these results is that most of them are mirrors of corresponding results of presimplifiable and associate rings in classical ring theory.
Mathematics Subject Classification ID: 13A99
zbMATH DE Number: 5899217
Wikidata QID: Q58650358
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/258947
OpenAlex ID: W2155687022
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DBLP publication ID: journals/afs/Ghanem10
description: scientific article; zbMATH DE number 5899217