# QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS

• Meryta Febrilian Fatimah Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Sulawesi Barat
• Fitriana Hasnani Graduated student of The Magister of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta, 55281, Indonesia
• Nikken Prima Puspita Mathematics Department, Faculty of Sciences and Mathematics, Universitas Diponegoro, Jl. Prof. Sudharto, Semarang, 50275, Indonesia
Keywords: seminear-ring, congruence relation, c-ideal, quotient seminear-ring, quotient seminear-ring endomorphism

### Abstract

A seminear-ring is a generalization of ring. In ring theory, if  is a ring with the multiplicative identity, then the endomorphism module  is isomorphic to . Let  be a seminear-ring. Here, we can construct the set of endomorphism from  to itself denoted by . We show that if  is a seminear-ring, then is also a seminear-ring over addition and composition function. We will apply the congruence relation to get the quotient seminear-ring endomorphism. Furthermore, we show the relation between c-ideal and congruence relations. So, we can construct the quotient seminear-ring endomorphism with a c-ideal.

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Published
2022-09-01
How to Cite
[1]
M. Fatimah, F. Hasnani, and N. Puspita, “QUOTIENT SEMINEAR-RINGS OF THE ENDOMORPHISM OF SEMINEAR-RINGS”, BAREKENG: J. Math. & App., vol. 16, no. 3, pp. 887-896, Sep. 2022.
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Articles