The commutative ring for prime near-rings by involving derivation

Mochammad Reza Habibi; Dian Winda Setyawati; Komar Baihaqi

doi:10.1088/1742-6596/1218/1/012029

The commutative ring for prime near-rings by involving derivation

Mochammad Reza Habibi
, Dian Winda Setyawati
, Komar Baihaqi

Laboratory of Analysis, Algebra, and Mathematics for Education

Institut Teknologi Sepuluh Nopember

Research output: Contribution to journal › Conference article › peer-review

Abstract

A near-ring is an extension of the ring without having to fulfill the commutative of the sum and left distributive of the addition and multiplication operations. This paper shows that a prime and zero symmetric near-ring with derivation on near-ring satisfies proposed conditions is a commutative ring.

Original language	English
Article number	012029
Journal	Journal of Physics: Conference Series
Volume	1218
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1218/1/012029
Publication status	Published - 31 May 2019
Event	3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia Duration: 20 Oct 2018 → …

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Cite this

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title = "The commutative ring for prime near-rings by involving derivation",

abstract = "A near-ring is an extension of the ring without having to fulfill the commutative of the sum and left distributive of the addition and multiplication operations. This paper shows that a prime and zero symmetric near-ring with derivation on near-ring satisfies proposed conditions is a commutative ring.",

author = "\{Reza Habibi\}, Mochammad and \{Winda Setyawati\}, Dian and Komar Baihaqi",

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AU - Reza Habibi, Mochammad

AU - Winda Setyawati, Dian

AU - Baihaqi, Komar

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2019/5/31

Y1 - 2019/5/31

N2 - A near-ring is an extension of the ring without having to fulfill the commutative of the sum and left distributive of the addition and multiplication operations. This paper shows that a prime and zero symmetric near-ring with derivation on near-ring satisfies proposed conditions is a commutative ring.

AB - A near-ring is an extension of the ring without having to fulfill the commutative of the sum and left distributive of the addition and multiplication operations. This paper shows that a prime and zero symmetric near-ring with derivation on near-ring satisfies proposed conditions is a commutative ring.

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U2 - 10.1088/1742-6596/1218/1/012029

DO - 10.1088/1742-6596/1218/1/012029

M3 - Conference article

AN - SCOPUS:85067784876

SN - 1742-6588

VL - 1218

JO - Journal of Physics: Conference Series

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M1 - 012029

T2 - 3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018

Y2 - 20 October 2018

ER -

The commutative ring for prime near-rings by involving derivation

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