Abel-Grassmann’s bands
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2023-12-10 23:25
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PROTIC, 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

Abel-Grassmann’s bands

Pag. 95-101

Protic Petar, Stevanovic Nebojsa
 
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

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.