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dc.contributor.authorO'Shea, James
dc.date.accessioned2016-04-18T07:41:40Z
dc.date.issued2016-03-01
dc.identifier.citationO'Shea, J. (2016) 'Multiples of Pfister forms'. Journal Of Algebra, 449 :214-236.en_IE
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/10379/5682
dc.description.abstractThe isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, a lower bound on the first Witt index of Pfister multiples is established and a number of its corollaries are outlined. The relationship between a form and its Pfister multiples is explored, with particular attention being devoted to the case where the Pfister form is generic. Isotropy statements are obtained in this context, with related results demonstrating a strong correspondence between the properties of a form of those of its generic Pfister multiples. These correspondence results are applied to discriminate between properties inherited by Pfister multiples, with some novel examples being provided in this regard.en_IE
dc.description.sponsorshipInternational Mobility Fellowship from the Irish Research Council, co-funded by Marie Curie Actions under FP7. Ien_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherElsevieren_IE
dc.relation.ispartofJournal Of Algebraen
dc.subjectQuadratic formsen_IE
dc.subjectPfister multiplesen_IE
dc.subjectFirst Witt index;en_IE
dc.subjectGeneric Pfister formsen_IE
dc.subjectMathematicsen_IE
dc.titleMultiples of Pfister formsen_IE
dc.typeArticleen_IE
dc.date.updated2016-04-14T10:28:00Z
dc.identifier.doi10.1016/j.jalgebra.2015.09.055
dc.local.publishedsourcehttp://www.sciencedirect.com/science/article/pii/S0021869315005670en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|1267872|~|6201984|~|
dc.description.embargo2018-03-01
dc.internal.rssid10856034
dc.local.contactJames O'Shea. Email: james.oshea@nuigalway.ie
dc.local.copyrightcheckedNo
dc.local.versionACCEPTED
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