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IMI/Publicaţii/QRS/Ediţii/QRS v.15, n.2 (18), 2007/

A note on an Abel-Grassmann 3-band

Authors: Q. Musthaq and M. Khan

Abstract

In this paper we have investigated AG-3-band and ideal theory on it. An AG-3-band S has associative powers and is fully idempotent. A subset of an AG-3-band is a left ideal if and only it is right and every ideal of S is prime if and only if the set of all ideals of S is totally ordered under inclusion. An ideal of S is prime if and only if it is strongly irreducible. The set of ideals of S is a semilattice.

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