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All Journal Al-Jabar : Jurnal Pendidikan Matematika JTAM (Jurnal Teori dan Aplikasi Matematika)
Hasnani, Fitriana
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Education Mathematics

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Journal : Al-Jabar : Jurnal Pendidikan Matematika

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The notions of irreducible ideals of the endomorphism ring on the category of rings and the category of modules Hasnani, Fitriana; Fatimah, Meryta Febrilian; Puspita, Nikken Prima
Al-Jabar: Jurnal Pendidikan Matematika Vol 13, No 1 (2022): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v13i1.11139

Abstract

Let R commutative ring with multiplicative identity, and M is an R-module. An ideal I of R is irreducible if the intersection of every two ideals of R equals I, then one of them is I itself. Module theory is also known as an irreducible submodule, from the concept of an irreducible ideal in the ring. The set of R - module homomorphisms from M to itself is denoted by EndR(M). It is called a module endomorphism M of ring R. The set EndR(M) is also a ring with an addition operation and composition function. This paper showed the sufficient condition of an irreducible ideal on the ring of EndR(R) and EndR(M)
Co-Authors Adillah, Aisyah Nur Meryta Febrilian Fatimah, Meryta Febrilian Nikken Prima Puspita