Derivation Requirements on Prime Near-Rings for Commutative Rings

Derivation Requirements on Prime Near-Rings for Commutative Rings

Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative rings involving the derivation of the Lie produc...

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Main Authors: Dian Winda Setyawati, Mochammad Reza Habibi, Komar Baihaqi
Format: Article
Language:English
Published: Fakultas MIPA Universitas Jember 2019-07-01
Series:Jurnal Ilmu Dasar
Online Access:https://jurnal.unej.ac.id/index.php/JID/article/view/10297
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spelling doaj-6fc671f196ff4b19b3951e3930bc339b2020-11-25T01:49:02ZengFakultas MIPA Universitas JemberJurnal Ilmu Dasar1411-57352442-56132019-07-0120213914410.19184/jid.v20i2.1029710297Derivation Requirements on Prime Near-Rings for Commutative RingsDian Winda Setyawati0Mochammad Reza Habibi1Komar Baihaqi2Institut Teknologi Sepuluh Nopember SurabayaInstitut Teknologi Sepuluh Nopember SurabayaInstitut Teknologi Sepuluh Nopember SurabayaNear-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative rings involving the derivation of the Lie products and the derivation of the Jordan product. The contribution of this paper is developing the previous theorem by inserting derivations to the Lie products and the Jordan product. Keywords: Derivation, Prime Near-Ring, Lie Products and Jordan Products.https://jurnal.unej.ac.id/index.php/JID/article/view/10297
collection DOAJ
language English
format Article
sources DOAJ
author Dian Winda Setyawati
Mochammad Reza Habibi
Komar Baihaqi
spellingShingle Dian Winda Setyawati
Mochammad Reza Habibi
Komar Baihaqi
Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar
author_facet Dian Winda Setyawati
Mochammad Reza Habibi
Komar Baihaqi
author_sort Dian Winda Setyawati
title Derivation Requirements on Prime Near-Rings for Commutative Rings
title_short Derivation Requirements on Prime Near-Rings for Commutative Rings
title_full Derivation Requirements on Prime Near-Rings for Commutative Rings
title_fullStr Derivation Requirements on Prime Near-Rings for Commutative Rings
title_full_unstemmed Derivation Requirements on Prime Near-Rings for Commutative Rings
title_sort derivation requirements on prime near-rings for commutative rings
publisher Fakultas MIPA Universitas Jember
series Jurnal Ilmu Dasar
issn 1411-5735
2442-5613
publishDate 2019-07-01
description Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative rings involving the derivation of the Lie products and the derivation of the Jordan product. The contribution of this paper is developing the previous theorem by inserting derivations to the Lie products and the Jordan product. Keywords: Derivation, Prime Near-Ring, Lie Products and Jordan Products.
url https://jurnal.unej.ac.id/index.php/JID/article/view/10297
work_keys_str_mv AT dianwindasetyawati derivationrequirementsonprimenearringsforcommutativerings
AT mochammadrezahabibi derivationrequirementsonprimenearringsforcommutativerings
AT komarbaihaqi derivationrequirementsonprimenearringsforcommutativerings
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