On Structure of RG-Semigroups

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Poonchayar Patthanangkoor
Palida Suchatphong
Wasin Supakul
Chutima Phueaksawat


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.


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Physical Sciences


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.