On Structure of RG-Semigroups

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Published: Aug 24, 2023
Keywords:
RG-semigroup RG-ideal Homomorphism Isomorphism

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Poonchayar Patthanangkoor
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 1212
Palida Suchatphong
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Wasin Supakul
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120
Chutima Phueaksawat
Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani 12120

Abstract

In this paper, we introduce the notion of RG-semigroup. We prove that every ring determines an RG-semigroup. We also introduce the notions of RG-ideal of RG-semigroup, and we investigate RG-ideal properties. Moreover, we introduce the notion of a congruence relation on RG-semigroup, and we construct the quotient RG-semigroup. Furthermore, we introduce the notion of RG-semigroup homomorphism and RG-semigroup isomorphism, and we provide some of its properties.

Article Details

Issue
Vol.31 No.4 (July-August 2023)
Section
Physical Sciences

References

Kim, K.H., 2006, On structure of KS-semigroups, International Mathematical Forum. 1(2): 67-76.

Omar, R.A.K., 2014, On RG-Algebra, Pure Mathematical Sciences. 3(2): 59-70.