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...
| Main Authors: | , , |
|---|---|
| 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 |
| _version_ | 1818160329241133056 |
|---|---|
| author | Dian Winda Setyawati Mochammad Reza Habibi Komar Baihaqi |
| author_facet | Dian Winda Setyawati Mochammad Reza Habibi Komar Baihaqi |
| author_sort | Dian Winda Setyawati |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-11T16:00:09Z |
| format | Article |
| id | doaj.art-6fc671f196ff4b19b3951e3930bc339b |
| institution | Directory Open Access Journal |
| issn | 1411-5735 2442-5613 |
| language | English |
| last_indexed | 2024-12-11T16:00:09Z |
| publishDate | 2019-07-01 |
| publisher | Fakultas MIPA Universitas Jember |
| record_format | Article |
| series | Jurnal Ilmu Dasar |
| spelling | doaj.art-6fc671f196ff4b19b3951e3930bc339b2022-12-22T00:59:20ZengFakultas 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 |
| spellingShingle | Dian Winda Setyawati Mochammad Reza Habibi Komar Baihaqi Derivation Requirements on Prime Near-Rings for Commutative Rings Jurnal Ilmu Dasar |
| title | 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_short | Derivation Requirements on Prime Near-Rings for Commutative Rings |
| title_sort | derivation requirements on prime near rings for commutative rings |
| 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 |