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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| Дата: | 2021 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188754 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188754 |
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dspace |
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irk-123456789-1887542023-03-15T01:27:27Z Some commutativity criteria for 3-prime near-rings Raji, A. 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. 2021 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188754 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Raji, A. |
| spellingShingle |
Raji, A. Some commutativity criteria for 3-prime near-rings Algebra and Discrete Mathematics |
| author_facet |
Raji, A. |
| author_sort |
Raji, A. |
| title |
Some commutativity criteria for 3-prime near-rings |
| title_short |
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_sort |
some commutativity criteria for 3-prime near-rings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2021 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188754 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT rajia somecommutativitycriteriafor3primenearrings |
| first_indexed |
2023-10-18T23:09:06Z |
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2023-10-18T23:09:06Z |
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1796157380030889984 |