Abstract
An AG-groupoid H satisfying the rule of left semisymmetry,
(ab)a = b for all a, b ∈ H is called an anti-rectangular AG-groupoid.
This article is devoted to the study of various characterizations of antirectangular AG-groupoids and to the relations of this subclass with various subclasses of AG-groupoids and with other algebraic structures such
as semigroups, commutative semigroups, monoids, abelian groups, etc.
Furthermore, we remove the miss conception about the proper ideals of
anti-rectangular AG-groupoids in [20] by proving that it is simple.
Muhammad Khan, Imtiaz Ahmad, Muhammad Iqbal, Muhammad Rashad, Amanullah. (2019) A Study of Anti-rectangular AG-groupoids, Punjab University Journal of Mathematics, Volume 51, Issue 12.
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