ON PURE LA-SEMIHYPERGROUPS

Authors : VENUS AMJAD, FAISALYOUSAFZAI

Pages : 53-63

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Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :We generalize the existing theory of an associative structure [6] bystudying it in a non-associative hyper-structure called an LA-semihypergroup.The results obtained will also generalize the results on LA-semigroup withouthyper theory. As an application of our results we characterize insert ignore into journalissuearticles values(0, 2);-hyperidealsof an LA-semihypergroup H and prove that A is a insert ignore into journalissuearticles values(0, 2);-hyperideal of H ifand only if A is a left hyperideal of some left hyperideal of H. We also showthat an LA-semihypergroup H is 0-insert ignore into journalissuearticles values(0, 2);-bisimple if and only if H is right0-simple. Finally we give the connection of ordered and hyper theories of anLA-semigroup
Keywords : LA semihypergroup, left invertive law, pure left identity and 0minimal hyperideals