Q. Mushtaq and M. Khan
Ideals in AG-band and AG*-groupoid

We have shown that an ideal I of an AG-band is prime iff ideal (S) is totally ordered; it is prime iff it is strongly irreducible. The set of ideals of S form a semilattice structure. We have proved that if a belongs to the centre of S, then S is zero-simple if and only if (Sa)S=S, for every a in S-(0). Ideal structure in an AG*-groupoid S has also been investigated. It has been shown that if I is a minimal right ideal of S then Ia is a minimal left ideal of S, for all a in S. It has been shown also that every ideal of an AG*-groupoid S is prime if and only if it is idempotent and ideal (S) is totally ordered.

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