FA-presentable groups and rings

Nies, Andre; Thomas, R

dc.contributor.author	Nies, Andre	en
dc.contributor.author	Thomas, R	en
dc.date.accessioned	2012-03-11T20:10:38Z	en
dc.date.issued	2008	en
dc.identifier.citation	JOURNAL OF ALGEBRA 320(2):569-585 15 Jul 2008	en
dc.identifier.issn	0021-8693	en
dc.identifier.uri	http://hdl.handle.net/2292/13673	en
dc.description.abstract	We consider structures which are FA-presentable. It is known that an FA-presentable finitely generated group is virtually abelian; we strengthen this result by showing that an arbitrary FA-presentable group is locally virtually abelian. As a consequence, we prove that any FA-presentable ring is locally finite; this is a significant restriction and allows us to say a great deal about the structure of FA-presentable rings. In particular, we show that any FA-presentable ring with identity and no zero divisors is finite.	en
dc.publisher	Academic Press	en
dc.relation.ispartofseries	Journal of Algebra	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0021-8693/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	FA-presentable groups and rings	en
dc.type	Journal Article	en
dc.identifier.doi	10.1016/j.jalgebra.2007.04.015	en
pubs.begin-page	569	en
pubs.volume	320	en
dc.rights.holder	Copyright: Academic Press	en
pubs.end-page	585	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	80896	en
pubs.org-id	Science	en
pubs.org-id	School of Computer Science	en
pubs.record-created-at-source-date	2010-09-01	en