Prime radical of Ore extensions over δ -rigid rings

dc.contributor.author	Bhat, V.K.
dc.date.accessioned	2019-06-14T03:41:41Z
dc.date.available	2019-06-14T03:41:41Z
dc.date.issued	2009
dc.identifier.citation	Prime radical of Ore extensions over δ -rigid rings / V.K. Bhat // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 14–19. — Бібліогр.: 13 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 16-XX; 16P40,16P50,16U20.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/153379
dc.description.abstract	Let R be a ring. Let σ be an automorphism of R and δ be a σ-derivation of R. We say that R is a δ-rigid ring if aδ(a)∈P(R) implies a∈P(R), a∈R; where P(R) is the prime radical of R. In this article, we find a relation between the prime radical of a δ-rigid ring R and that of R[x,σ,δ]. We generalize the result for a Noetherian Q-algebra (Q is the field of rational numbers).	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	Prime radical of Ore extensions over δ -rigid rings	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA