2008•Journal of Interdisciplinary MathematicsRequires access

Direct product of Abel Grassmann’s groupoids

Qaiser Mushtaq, Madad Khan

Abstract

In this paper, we have discussed the direct products of ideals, prime ideals, minimal right ideals in AG-groupoids and AG* -groupoid. We have proved also that every ideal of the direct product of AG* -groupoids is prime if and only if it is an idempotent and the set of ideals of the product is totally ordered under inclusion.

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Key concepts: Mathematics, Product (mathematics), Pure mathematics, Exterior algebra, Algebra over a field, Geometry