Theory of paramedial \Gamma-right almost semigroups

Main Article Content

Suphatcha Chuphan
Pairote Yiarayong

Abstract

In this paper, we have introduce the notion of gif.latex?\Gamma-right almost semigroups (gif.latex?\Gamma-RA-semigroups), and to investigate it properties. Moreover, we also introduce the concept of flexible gif.latex?\Gamma-RA-semigroups, cross-cancellative gif.latex?\Gamma-RA-semigroups, paramedial gif.latex?\Gamma-RA-semigroups and idempotent gif.latex?\Gamma-RA-semigroups and investigate its structural properties. Finally, the relationships between gif.latex?\Gamma-RA-semigroups and paramedial  gif.latex?\Gamma-RA-semigroups were investigated.

Article Details

How to Cite
Chuphan, S., & Yiarayong, P. (2023). Theory of paramedial \Gamma-right almost semigroups . Rattanakosin Journal of Science and Technology, 5(1), 20–27. Retrieved from https://ph02.tci-thaijo.org/index.php/RJST/article/view/247057
Section
Research Articles

References

Akin, C. (2018). Fuzzy soft LA- (m, n) -ideals in LA- -semigroupoids. International Joumal of Mathematics and System Sciences, 1, 1-2.

Hila, K. (2008). On regular, semiprime and quasi-reflexive -semigroup and minimal quasi-ideals. Lobachevskii J Math 29, 141–152.

Kazim, M. A., & Naseerudin, M. (1972). On left almost semigroups. The Alig. Bull. Math, 2, 1-7.

Khan, M., Amjid, V., Zaman, G., & Yaqoob, N. (2014). Characterizations of ordered

-Abel-Grassmann's groupoids. Discussiones Mathematicae-General Algebra and Applications, 34(1), 55-73.

Khan, M., Anis, S., & Faisal, Y. (2013). On fuzzy- -ideals of -Abel-Grassmann's groupoids. Research Journal of Applied Sciences, Engineering and Technology, 6(8), 1326-1334.

Leelavardhini, D., & Latha, G.S. (2019). On commutativity of RA-semigroups. IJRAR-International Journal of research and Analytical Reviews (IJRAR), 6(2), 454-463.

Leelavardhini, D., & Latha, G.S. (2020). RA-semigroups that are L-R-cyclic commutative semigroups. Aegaeum Journal, 8(5), 642-650.

Sen, M. K. (1981). On -semigroup. Proc. of InternationalConference on Algebra and its Applications, Decker Publication.

Shah, T., & Rehman, I. (2010). On -ideals and -bi-ideals in -AG-groupoids. International Journal of Algebra, 4(6), 267-276.

Shah, T., & Rehman, I. (2013). Decomposition of locally associative -AG-groupoids. Novi Sad J. Math, 43(1), 1-8.