Abstract
A magma that also satisfies the left invertive law,
(ab) c = (cb) a is called an AG-groupoid. Generally, an AG-groupoid
is a non-associative structure lying midway between a groupoid
and a commutative semigroup. We consider the notion of anticommutativity in AG-groupoids and investigate some of their properties. A new subclass of AG-groupoids as rectangular AG-groupoid
is introduced and investigated. A variety of examples and counter
examples are produced using the latest computational techniques
of GAP, Mace4 and Prover9.
Imtiaz Ahmad, Iftikhar Ahmad, Muhammad Rashad. (2016) A Study of Anti-Commutativity in AG-Groupoids, Punjab University Journal of Mathematics, Volume 48, Issue 1.
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