On right bases of ordered LA-Γ-semigroups

Wichayaporn Jantanan, Phaisan Thongphitak, Jurapong Chongpra, Samkhan Hobanthad, Ronnason Chinram, Thiti Gaketem

Abstract


In this paper, the notions of left and right bases of an ordered LA-Γ-semigroup are introduced and described. The structure of an ordered LA-Γ-semigroup with left identity containing right bases will be studied. Moreover, we show that every right base of an ordered LA-Γ-semigroup with left identity has one element and the compliment of the union of all right bases of an ordered LA-Γ-semigroup with left identity is the maximal proper left Γ-ideal.

Full Text: PDF

Published: 2021-12-15

How to Cite this Article:

Wichayaporn Jantanan, Phaisan Thongphitak, Jurapong Chongpra, Samkhan Hobanthad, Ronnason Chinram, Thiti Gaketem, On right bases of ordered LA-Γ-semigroups, J. Math. Comput. Sci., 12 (2022), Article ID 34

Copyright © 2022 Wichayaporn Jantanan, Phaisan Thongphitak, Jurapong Chongpra, Samkhan Hobanthad, Ronnason Chinram, Thiti Gaketem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

Copyright ©2022 JMCS