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Title: | Antisymmetric elements in group rings II |
Keywords: | Involution Group ring Antisymmetric elements Involução Anel de grupo Elementos antissimétricos |
Issue Date: | 2009 |
Publisher: | World Scientific Publishing Company |
Citation: | CRISTO, O. B. et al. Antisymmetric elements in group rings II. Journal of Algebra and Its Applications, [S. I.], v. 8, n. 1, p. 115–127, 2009. DOI: https://doi.org/10.1142/S0219498809003254. |
Abstract: | Let R be a commutative ring, G a group and RG its group ring. Let φ : RG → RG denote the R-linear extension of an involution φ defined on G. An element x in RG is said to be φ-antisymmetric if φ (x) = -x. A characterization is given of when the φ-antisymmetric elements of RG commute. This is a completion of earlier work. |
URI: | https://doi.org/10.1142/S0219498809003254 http://repositorio.ufla.br/jspui/handle/1/45875 |
Appears in Collections: | DEX - Artigos publicados em periódicos |
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