Some Results in $LA**$-semigroups

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Published: Dec 22, 2020
Keywords:
Left almost semigroup, $LA**$ -semigroup, Variant element, Left invertive, Regular left almost semigroup

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Chadarat Tapan
Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000
Pairote Yiarayong
Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000

Abstract

In this paper, the notions of variant elements in left almost semigroups are investigated. Moreover, we prove that the following conditions are equivalent.


       1. gif.latex?a\in\mathcal{R}(S),


        2. gif.latex?(S*a)*b=S*b  for any element gif.latex?b of an gif.latex?\mathcal{LA}^{**}-semigroup gif.latex?S.

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How to Cite
Tapan, C., & Yiarayong, P. (2020). Some Results in $LA**$-semigroups. Mathematical Journal by The Mathematical Association of Thailand Under The Patronage of His Majesty The King, 65(702), 45–56. Retrieved from https://ph02.tci-thaijo.org/index.php/MJMATh/article/view/228153
Issue
Vol. 65 No. 702 (2020): September – December
Section
Research Article

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