×

Transferable elements in group rings. (Russian. English summary) Zbl 0805.16026

Roomeldi, R. (ed.), Monoids, rings and algebras. Tartu: Tartuskij Universitet, Tartu Ülik. Toim., Mat.-Meh.-Alaseid Töid. 878, 39-52 (1990).
Summary of the author: Modified proofs are given to some known results about group rings, among them to S. Mihovski’s result giving a description of strongly regular group rings. The common feature of these proofs is the systematic exploitation of the notion of transferable element in a ring. A somewhat more direct and detailed proof in the characteristic 0 case to P. Menal ’s theorem about group rings is presented here also. Some new questions about transferable elements are formulated.
For the entire collection see [Zbl 0787.00020].

MSC:

16S34 Group rings
16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
20C07 Group rings of infinite groups and their modules (group-theoretic aspects)
PDFBibTeX XMLCite