Decompositions of an Abel-Grassmann's groupoid
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KHAN, Madad. Decompositions of an Abel-Grassmann's groupoid. In: Quasigroups and Related Systems, 2010, vol. 18, nr. 2(24), pp. 143-148. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 18, Numărul 2(24) / 2010 / ISSN 1561-2848

Decompositions of an Abel-Grassmann's groupoid

Pag. 143-148

Khan Madad
 
COMSATS Institute of Information Technology
 
 
Disponibil în IBN: 16 decembrie 2013


Rezumat

In this paper we have decomposed AG-groupoids. We have proved that if S is an AG-groupoid, then S/ is isomorphic to S/, for n,m > 2, where  and are congruence relations. Further it has shown that S/ is a separative semilattice homomorphic image of an AG-groupoid S with left identity, where  is a congruence relation.