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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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