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- W2329998056 abstract "The group ring AG of a group G and a ring A is the ring of all formal sums Σ g ∈G a g g with a g ∈ A and with only finitely many non-zero a g . Elements of A are assumed to commute with the elements of G. In ( 2 ), Connell characterized or completed the characterization of Artinian, completely reducible and (von Neumann) regular group rings (( 2 ) also contains many other basic results). In (3, Appendix 3) Connell used a theorem of Passman ( 6 ) to characterize semi-prime group rings. Following in the spirit of these investigations, this paper deals with the complete ring of (right) quotients Q(AG) of the group ring AG. It is hoped that the methods used and the results given may be useful in characterizing group rings with maximum condition on right annihilators and complements, at least in the semi-prime case." @default.
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- W2329998056 date "1969-01-01" @default.
- W2329998056 modified "2023-10-18" @default.
- W2329998056 title "Rings of Quotients of Group Rings" @default.
- W2329998056 doi "https://doi.org/10.4153/cjm-1969-094-0" @default.
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