On partial skew Armendariz rings
In this paper we consider rings R with a partial action α of an infinite cyclic group G on R. We introduce the concept of partial skew Armendariz rings and partial α-rigid rings. We show that partial α-rigid rings are partial skew Armendariz rings and we give necessary and sufficient conditions f...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154760 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On partial skew Armendariz rings / W. Cortes // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 23–45. — Бібліогр.: 39 назв. — англ. |
Репозитарії
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irk-123456789-1547602019-06-16T01:31:25Z On partial skew Armendariz rings Cortes, W. In this paper we consider rings R with a partial action α of an infinite cyclic group G on R. We introduce the concept of partial skew Armendariz rings and partial α-rigid rings. We show that partial α-rigid rings are partial skew Armendariz rings and we give necessary and sufficient conditions for R to be a partial skew Armendariz ring. We study the transfer of Baer property, a.c.c. on right annhilators property, right p.p. property and right zip property between R and R[x;α]. We also show that R[x;α] and R⟨x;α⟩ are not necessarily associative rings when R satisfies the concepts mentioned above. 2011 Article On partial skew Armendariz rings / W. Cortes // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 23–45. — Бібліогр.: 39 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16S36; 16S35 http://dspace.nbuv.gov.ua/handle/123456789/154760 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 this paper we consider rings R with a partial action α of an infinite cyclic group G on R. We introduce the concept of partial skew Armendariz rings and partial α-rigid rings. We show that partial α-rigid rings are partial skew Armendariz rings and we give necessary and sufficient conditions for R to be a partial skew Armendariz ring. We study the transfer of Baer property, a.c.c. on right annhilators property, right p.p. property and right zip property between R and R[x;α].
We also show that R[x;α] and R⟨x;α⟩ are not necessarily associative rings when R satisfies the concepts mentioned above. |
| format |
Article |
| author |
Cortes, W. |
| spellingShingle |
Cortes, W. On partial skew Armendariz rings Algebra and Discrete Mathematics |
| author_facet |
Cortes, W. |
| author_sort |
Cortes, W. |
| title |
On partial skew Armendariz rings |
| title_short |
On partial skew Armendariz rings |
| title_full |
On partial skew Armendariz rings |
| title_fullStr |
On partial skew Armendariz rings |
| title_full_unstemmed |
On partial skew Armendariz rings |
| title_sort |
on partial skew armendariz rings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154760 |
| citation_txt |
On partial skew Armendariz rings / W. Cortes // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 23–45. — Бібліогр.: 39 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT cortesw onpartialskewarmendarizrings |
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2023-05-20T17:45:19Z |
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2023-05-20T17:45:19Z |
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