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http://hdl.handle.net/1942/7366
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DC Field | Value | Language |
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dc.contributor.author | WAUTERS, Paul | - |
dc.date.accessioned | 2007-12-20T16:15:32Z | - |
dc.date.available | 2007-12-20T16:15:32Z | - |
dc.date.issued | 1999 | - |
dc.identifier.citation | Journal of algebra, 214. p. 448-457 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/1942/7366 | - |
dc.description.abstract | Let G be a polycyclic-by-finite group such that Delta(G) is torsion-free abelian and It a field. Denote by S a multiplicatively closed set of nun-zero central elements of K[G]; if K is an absolute field assume that S contains an element not in K. Our main result is when the localization K[G](S) is a primitive ring. This turns out to be equivalent to the following three conditions: (1) A = K[S, S-1] is a G-domain, (2) (Q(ZK[G]) : Q(A)) is finite, and (3) J(K[G](S)) = 0. In case G is not abelian-by-finite, condition (3) is not needed. hn immediate consequence is the following. Let K be a field; in ease K is an absolute field assume that Delta(G) not equal 1. Then K[G](ZK[G]) is a primitive ring. In the final section a class of examples is constructed. (C) 1999 Academic Press. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC | - |
dc.title | Primitive localizations of group algebras of polycyclic-by-finte groups | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 457 | - |
dc.identifier.spage | 448 | - |
dc.identifier.volume | 214 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000079685800004 | - |
item.accessRights | Closed Access | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2000 | - |
item.contributor | WAUTERS, Paul | - |
item.fullcitation | WAUTERS, Paul (1999) Primitive localizations of group algebras of polycyclic-by-finte groups. In: Journal of algebra, 214. p. 448-457. | - |
Appears in Collections: | Research publications |
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