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Primitive group rings. (English) Zbl 0223.16007


MSC:

16S34 Group rings
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
16N60 Prime and semiprime associative rings
16D60 Simple and semisimple modules, primitive rings and ideals in associative algebras
Full Text: DOI

References:

[1] Ian G. Connell, On the group ring, Canad. J. Math. 15 (1963), 650 – 685. · Zbl 0121.03502 · doi:10.4153/CJM-1963-067-0
[2] Irving Kaplansky, ”Problems in the theory of rings” revisited, Amer. Math. Monthly 77 (1970), 445 – 454. · Zbl 0208.29701 · doi:10.2307/2317376
[3] Donald S. Passman, Infinite group rings, Marcel Dekker, Inc., New York, 1971. Pure and Applied Mathematics, 6. · Zbl 0221.20042
[4] Alan Rosenberg, On the primitivity of the group algebra, Canad. J. Math. 23 (1971), 536 – 540. · Zbl 0212.36302 · doi:10.4153/CJM-1971-057-8
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