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Group rings satisfying a polynomial identity. (English) Zbl 0226.16015


MSC:

16S34 Group rings
16R10 \(T\)-ideals, identities, varieties of associative rings and algebras
16R20 Semiprime p.i. rings, rings embeddable in matrices over commutative rings
Full Text: DOI

References:

[1] Amitsur, S. A., Groups with representations of bounded degree II, Illinois J. Math., 5, 198-205 (1961) · Zbl 0100.25704
[2] Isaacs, I. M.; Passman, D. S., Groups with representations of bounded degree, Canad. J. Math., 16, 299-309 (1964) · Zbl 0124.26701
[3] Kaplansky, I., Groups with representations of bounded degree, Canad. J. Math., 1, 105-112 (1949) · Zbl 0037.01603
[4] Kurosh, A. G., (The Theory of Groups, Vol. II (1956), Chelsea: Chelsea New York)
[5] Passman, D. S., Linear identities in group rings, Pacific J. Math., 36, 457-484 (1971) · Zbl 0211.34702
[6] Passman, D. S., Infinite Group Rings (1971), Marcel Dekker: Marcel Dekker New York · Zbl 0247.16004
[7] Smith, M., On group algebras, Bull. Amer. Math. Soc., 76, 780-782 (1970) · Zbl 0201.03902
[8] Wiegold, J., Groups with boundedly finite classes of conjugate elements, (Proc. Roy. Soc. London, Ser. A, 238 (1957)), 389-401 · Zbl 0077.03002
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