Duo group rings
Copyright policy )Duo group rings
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.
- BROCK UNIVERSITY Canada
- Brock University Canada
Algebra and Number Theory, Group rings, group algebras, Group rings of infinite groups and their modules (group-theoretic aspects), duo rings, Generalizations of commutativity (associative rings and algebras), group rings, reversible rings
Algebra and Number Theory, Group rings, group algebras, Group rings of infinite groups and their modules (group-theoretic aspects), duo rings, Generalizations of commutativity (associative rings and algebras), group rings, reversible rings
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