Lattice of fuzzy congruences in inverse semigroups
Identifieur interne : 003307 ( Istex/Corpus ); précédent : 003306; suivant : 003308Lattice of fuzzy congruences in inverse semigroups
Auteurs : Pratyayananda DasSource :
- Fuzzy Sets and Systems [ 0165-0114 ] ; 1997.
Abstract
The lattice of fuzzy congruences in an inverse semigroup is developed in the present paper. Given a fuzzy congruence relation ϱ in an inverse semigroup, the fuzzy congruence relations ϱmin and ϱax are defined and some important results are obtained. A theorem giving the close relation between a fuzzy congruence and its fuzzy trace and kernel is proved.
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DOI: 10.1016/S0165-0114(96)00133-9
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Given a fuzzy congruence relation ϱ in an inverse semigroup, the fuzzy congruence relations ϱmin and ϱax are defined and some important results are obtained. 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A theorem giving the close relation between a fuzzy congruence and its fuzzy trace and kernel is proved.</p></abstract><textClass><keywords scheme="keyword"><list><head>Keywords</head><item><term>Fuzzy algebra</term></item><item><term>Fuzzy equivalence relation</term></item><item><term>Fuzzy congruence</term></item><item><term>Inverse semigroup</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1997">Published</change></revisionDesc></teiHeader></istex:fulltextTEI></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: tail"><istex:xmlDeclaration>version="1.0" encoding="utf-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla"><item-info><jid>FSS</jid><aid>96001339</aid><ce:pii>S0165-0114(96)00133-9</ce:pii><ce:doi>10.1016/S0165-0114(96)00133-9</ce:doi><ce:copyright type="unknown" year="1997"></ce:copyright></item-info><head><ce:title>Lattice of fuzzy congruences in inverse semigroups</ce:title><ce:author-group><ce:author><ce:given-name>Pratyayananda</ce:given-name><ce:surname>Das</ce:surname></ce:author><ce:affiliation><ce:textfn>Department of Mathematics, Burdwan University, Golapbag, Burdwan, 713, 104, West Bengal, India</ce:textfn></ce:affiliation></ce:author-group><ce:abstract><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para>The lattice of fuzzy congruences in an inverse semigroup is developed in the present paper. 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A theorem giving the close relation between a fuzzy congruence and its fuzzy trace and kernel is proved.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords><ce:section-title>Keywords</ce:section-title><ce:keyword><ce:text>Fuzzy algebra</ce:text></ce:keyword><ce:keyword><ce:text>Fuzzy equivalence relation</ce:text></ce:keyword><ce:keyword><ce:text>Fuzzy congruence</ce:text></ce:keyword><ce:keyword><ce:text>Inverse semigroup</ce:text></ce:keyword></ce:keywords></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo><title>Lattice of fuzzy congruences in inverse semigroups</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Lattice of fuzzy congruences in inverse semigroups</title></titleInfo><name type="personal"><namePart type="given">Pratyayananda</namePart><namePart type="family">Das</namePart><affiliation>Department of Mathematics, Burdwan University, Golapbag, Burdwan, 713, 104, West Bengal, India</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article"></genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1997</dateIssued><copyrightDate encoding="w3cdtf">1997</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">The lattice of fuzzy congruences in an inverse semigroup is developed in the present paper. Given a fuzzy congruence relation ϱ in an inverse semigroup, the fuzzy congruence relations ϱmin and ϱax are defined and some important results are obtained. A theorem giving the close relation between a fuzzy congruence and its fuzzy trace and kernel is proved.</abstract><subject><genre>Keywords</genre><topic>Fuzzy algebra</topic><topic>Fuzzy equivalence relation</topic><topic>Fuzzy congruence</topic><topic>Inverse semigroup</topic></subject><relatedItem type="host"><titleInfo><title>Fuzzy Sets and Systems</title></titleInfo><titleInfo type="abbreviated"><title>FSS</title></titleInfo><genre type="Journal">journal</genre><originInfo><dateIssued encoding="w3cdtf">19971101</dateIssued></originInfo><identifier type="ISSN">0165-0114</identifier><identifier type="PII">S0165-0114(00)X0067-X</identifier><part><date>19971101</date><detail type="volume"><number>91</number><caption>vol.</caption></detail><detail type="issue"><number>3</number><caption>no.</caption></detail><extent unit="issue pages"><start>279</start><end>416</end></extent><extent unit="pages"><start>399</start><end>408</end></extent></part></relatedItem><identifier type="istex">73ED616E4A9B843609CA6E6DF1655FFC7486543D</identifier><identifier type="DOI">10.1016/S0165-0114(96)00133-9</identifier><identifier type="PII">S0165-0114(96)00133-9</identifier><recordInfo><recordContentSource>ELSEVIER</recordContentSource></recordInfo></mods></metadata><enrichments><istex:catWosTEI uri="https://api.istex.fr/document/73ED616E4A9B843609CA6E6DF1655FFC7486543D/enrichments/catWos"><teiHeader><profileDesc><textClass><classCode scheme="WOS">COMPUTER SCIENCE, THEORY & METHODS</classCode><classCode scheme="WOS">MATHEMATICS, APPLIED</classCode><classCode scheme="WOS">STATISTICS & PROBABILITY</classCode></textClass></profileDesc></teiHeader></istex:catWosTEI></enrichments><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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