A Comparative Study of Anti-rectangular AG-groupoids and Commutative Semigroups

I. Ahmad, A. Rauf, M. Khan


In this paper, anti-rectangular AG-groupoids are studied. Some properties of anti-rectangular AGgroupoid
are investigated via a concise study of its super classes. Furthermore, various conditions are
explored under which an anti-rectangular AG-groupoid becomes commutative and hence a commutative
semigroup. Alternatively, the paper is a pleasant contribution to the theory of commutative semigroups.
Moreover, using the latest computational techniques of Prove-9 and Mace-4 a variety of examples and
counterexamples are provided to depict various produced results.

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