On partial skew Armendariz rings

dc.contributor.author	Cortes, W.
dc.date.accessioned	2019-06-15T20:35:14Z
dc.date.available	2019-06-15T20:35:14Z
dc.date.issued	2011
dc.identifier.citation	On partial skew Armendariz rings / W. Cortes // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 23–45. — Бібліогр.: 39 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification:16S36; 16S35
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154760
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On partial skew Armendariz rings	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA