On partial skew Armendariz rings
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On partial skew Armendariz rings
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| Creator |
Cortes, W.
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| 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. |
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| Date |
2019-06-15T20:35:14Z
2019-06-15T20:35:14Z 2011 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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