Abstract
A magma that satisfies the left invertive law: ab · c = cb · a
is called an AG-groupoid. The concept of right (left) abelian distributive
groupoid (RAD resp. LAD) is extended to introduce some new subclasses
of an AG-groupoid as right (left) abelian distributive AG-groupoid. The
enumerations for these subclasses up to order 6 is provided using a modern computational techniques of GAP and various relations of these new
subclasses are investigated with some other existing subclasses of AGgroupoids and other relevant algebraic structures. A manual procedure for
the verification of an arbitrary finite AG-groupoid for RAD AG-groupoid
is introduced. Various examples and counterexamples are produced with
Prover-9 and Mace-4 to strengthen the validity of the produced results.
Bashar Khan, Imtiaz Ahmad, Amanullah, Muhammad Rashad. (2020) A Note on Rightt Abelian Distributive AG-groupoids, Punjab University Journal of Mathematics, Volume 52 , Issue-11.
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