Near-Modul Kuat Faktor

Meryta Febrilian Fatimah; Darmawati Darmawati

doi:10.34312/jjom.v5i1.17595

Near-Modul Kuat Faktor

Meryta Febrilian Fatimah, Darmawati Darmawati

Abstract

Near-ring is a generalization of ring. In ring theory, let R be a ring over addition and multiplication operation with unity element and G be a commutative group under addition operation. Then G together with scalar multiplication of R and holds several axioms called module over ring. Let N be a near-ring, here we can construct the module over near-ring called near-module. We have three definitions of module over near-ring, such that, near-module, modified near-module, and strong near-module. Then we showed that strong near-module can be constructed into strong near-module factor as well as module factor in G. Furthermore, we generalized the fundamental theorem of homomorphism in module over ring to strong near-module over strong near-ring.

Keywords

Near-Module; Strong Near-Module; Strong Near-Module Factor

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DOI: https://doi.org/10.34312/jjom.v5i1.17595