Antisymmetric elements in group rings with an orientation morphism

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Campo DC	Valor	Idioma
dc.creator	Cristo, Osnel Broche	-
dc.creator	Jespers, Eric	-
dc.creator	Ruiz Marín, Manuel	-
dc.date.accessioned	2020-12-15T20:03:30Z	-
dc.date.available	2020-12-15T20:03:30Z	-
dc.date.issued	2009-03	-
dc.identifier.citation	CRISTO, O. B.; JESPERS, E.; RUIZ MARÍN, M. Antisymmetric elements in group rings with an orientation morphism. Forum Mathematicum, [S.I.], v. 21, n. 3, p. 427-454, 2009. DOI: 10.1515/FORUM.2009.020.	pt_BR
dc.identifier.uri	https://doi.org/10.1515/FORUM.2009.020	pt_BR
dc.identifier.uri	http://repositorio.ufla.br/jspui/handle/1/45876	-
dc.description.abstract	Let R be a commutative ring, G a group and RG its group ring. Let φσ : RG → RG denote the involution defined by φσ(Σrgg) = Σrgσ(g)g–1, where σ : G → {±1} is a group homomorphism (called an orientation morphism). An element x in RG is said to be antisymmetric if φσ(x) = –x. We give a full characterization of the groups G and its orientations for which the antisymmetric elements of RG commute.	pt_BR
dc.language	en	pt_BR
dc.publisher	De Gruyter	pt_BR
dc.rights	restrictAccess	pt_BR
dc.source	Forum Mathematicum	pt_BR
dc.subject	Group ring	pt_BR
dc.subject	Antisymmetric elements	pt_BR
dc.subject	Anel de grupo	pt_BR
dc.subject	Elementos antissimétricos	pt_BR
dc.title	Antisymmetric elements in group rings with an orientation morphism	pt_BR
dc.type	Artigo	pt_BR
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