ON PURE LA-SEMIHYPERGROUPS

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 (0, 2)-hyperidealsof an LA-semihypergroup H and prove that A is a (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-(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,

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Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad- PAKISTAN E-mail address: venusmath@yahoo.com 2School of Mathematical Sciences, University of Science and Technology of China, Hefei-CHINA E-mail address: yousafzaimath@gmail.com

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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