Bell, Howard E.; Li, Yuanlin Duo group rings. (English) Zbl 1124.16020 J. Pure Appl. Algebra 209, No. 3, 833-838 (2007). A ring \(R\) is said to be (i) ‘duo’ if every one-sided ideal is two-sided, and (ii) ‘reversible’ if whenever \(\alpha\beta=0\) for \(\alpha,\beta\in R\), then \(\beta\alpha=0\). The main result of this paper states that, for the group algebra \(KG\) of a torsion group \(G\) over a field \(K\), these two properties are equivalent. Reviewer: Inder Bir Singh Passi (Allahabad) Cited in 2 ReviewsCited in 9 Documents MSC: 16S34 Group rings 16U80 Generalizations of commutativity (associative rings and algebras) 20C07 Group rings of infinite groups and their modules (group-theoretic aspects) Keywords:group rings; group algebras; duo rings; reversible rings PDFBibTeX XMLCite \textit{H. E. Bell} and \textit{Y. Li}, J. Pure Appl. Algebra 209, No. 3, 833--838 (2007; Zbl 1124.16020) Full Text: DOI References: [1] Gutan, M.; Kisielewicz, A., Reversible group rings, J. Algebra, 279, 280-291 (2004) · Zbl 1068.16033 [2] Y. Li, M.M. Parmenter, Reversible group rings over commutative rings (submitted for publication); Y. Li, M.M. Parmenter, Reversible group rings over commutative rings (submitted for publication) · Zbl 1134.16009 [3] Marks, G., Reversible and symmetric rings, J. Pure Appl. Algebra, 174, 311-318 (2002) · Zbl 1046.16015 [4] Polcino Milies, C.; Sehgal, S. K., An Introduction to Group Rings (2002), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0997.20003 [5] Sehgal, S. K., Topics in Group Rings (1978), Marcel Dekker: Marcel Dekker New York · Zbl 0411.16004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.