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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

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J. Math. Comput. Sci. 12 (2022), Article ID 34

On right bases of ordered LA-Γ-semigroups

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

PDF (139.7 KB) https://doi.org/10.28919/jmcs/6684

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.

Published
15 December 2021
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2021 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.

Cite this article

W. Jantanan, P. Thongphitak, J. Chongpra, S. Hobanthad, R. Chinram, T. Gaketem, On right bases of ordered LA-Γ-semigroups, J. Math. Comput. Sci. 12 (2022), 34. https://doi.org/10.28919/jmcs/6684

BibTeX
@article{Jantanan2022,
  author  = {Jantanan, Wichayaporn and Thongphitak, Phaisan and Chongpra, Jurapong and Hobanthad, Samkhan and Chinram, Ronnason and Gaketem, Thiti},
  title   = {On right bases of ordered LA-Γ-semigroups},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {34},
  doi     = {10.28919/jmcs/6684}
}