Some commutativity criteria for 3-prime near-rings
In the present paper, we introduce the notion of *-generalized derivation in near-ring N and investigate some properties involving that of *-generalized derivation of a *-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2021 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188754 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some commutativity criteria for 3-prime near-rings / A. Raji // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 280-298. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732561394958336 |
|---|---|
| author | Raji, A. |
| author_facet | Raji, A. |
| citation_txt | Some commutativity criteria for 3-prime near-rings / A. Raji // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 280-298. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In the present paper, we introduce the notion of *-generalized derivation in near-ring N and investigate some properties involving that of *-generalized derivation of a *-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings. Consequently, some well known results have been generalized. Furthermore, we will give examples to demonstrate that the restrictions imposed on the hypothesis of various results are not superŕuous.
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| first_indexed | 2025-12-07T19:32:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188754 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:32:15Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Raji, A. 2023-03-14T17:13:04Z 2023-03-14T17:13:04Z 2021 Some commutativity criteria for 3-prime near-rings / A. Raji // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 280-298. — Бібліогр.: 10 назв. — англ. 1726-3255 DOI:10.12958/adm1439 2020 MSC: 16N60, 16W25, 16Y30 https://nasplib.isofts.kiev.ua/handle/123456789/188754 In the present paper, we introduce the notion of *-generalized derivation in near-ring N and investigate some properties involving that of *-generalized derivation of a *-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings. Consequently, some well known results have been generalized. Furthermore, we will give examples to demonstrate that the restrictions imposed on the hypothesis of various results are not superŕuous. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some commutativity criteria for 3-prime near-rings Article published earlier |
| spellingShingle | Some commutativity criteria for 3-prime near-rings Raji, A. |
| title | Some commutativity criteria for 3-prime near-rings |
| title_full | Some commutativity criteria for 3-prime near-rings |
| title_fullStr | Some commutativity criteria for 3-prime near-rings |
| title_full_unstemmed | Some commutativity criteria for 3-prime near-rings |
| title_short | Some commutativity criteria for 3-prime near-rings |
| title_sort | some commutativity criteria for 3-prime near-rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188754 |
| work_keys_str_mv | AT rajia somecommutativitycriteriafor3primenearrings |