The concept of left (resp. right) unar groupoid is extended to introduce left (resp. right) unar LA-semigroup as new subclasses of LA-semigroup. These subclasses are enumerated up to order 6 and some basic relations of these classes with other known subclasses of LA-semigroup and with other relevant algebraic structures are investigated. Furthermore, a variety of examples and counterexamples are provided using the latest computational techniques of GAP, Mace-4 and Prover-9. [ABSTRACT FROM AUTHOR]
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