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 SM ISO690:2012PROTIC, Petar, STEVANOVIC, Nebojsa. Abel-Grassmann’s bands
. In: Quasigroups and Related Systems, 2004, nr. 1(11), pp. 95-101. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 1(11) / 2004 / ISSN 1561-2848 | ||||||
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Abel-Grassmann’s groupoids or shortly AG-groupoids have been considered in a
number of papers, although under the different names. In some papers they are named
LA-semigroups [3] in others left invertive groupoids [2]. In this paper we deal with
AG-bands, i.e., AG-groupoids whose all elements are idempotents.
We introduce a few congruence relations on AG-band and consider decompositions of Abel-Grassmann’s bands induced by these congruences. We also give the natural partial order on Abel-Grassmann’s band.
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Protic, P.V.</dc:creator> <dc:creator>Stevanovic, N.</dc:creator> <dc:date>2004-01-05</dc:date> <dc:description xml:lang='en'>Abel-Grassmann’s groupoids or shortly AG-groupoids have been considered in a number of papers, although under the different names. In some papers they are named LA-semigroups [3] in others left invertive groupoids [2]. In this paper we deal with AG-bands, i.e., AG-groupoids whose all elements are idempotents. We introduce a few congruence relations on AG-band and consider decompositions of Abel-Grassmann’s bands induced by these congruences. We also give the natural partial order on Abel-Grassmann’s band. </dc:description> <dc:source>Quasigroups and Related Systems 11 (1) 95-101</dc:source> <dc:title>Abel-Grassmann’s bands </dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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