Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/45876
Title: Antisymmetric elements in group rings with an orientation morphism
Keywords: Group ring
Antisymmetric elements
Anel de grupo
Elementos antissimétricos
Issue Date: Mar-2009
Publisher: De Gruyter
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.
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.
URI: https://doi.org/10.1515/FORUM.2009.020
http://repositorio.ufla.br/jspui/handle/1/45876
Appears in Collections:DEX - Artigos publicados em periódicos

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