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Linear identities in
group rings. II
Donald Steven Passman |
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Vol. 36 (1971), No. 2, 485–505
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Abstract |
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In this paper we continue our study of linear identities satisfied by group rings. An algebra E is said to have a polynomial part if E has an idempotent e such that eEe satisfies a polynomial identity. Let K[G] be the group ring of G over K and suppose that this ring is semiprime. If Δ denotes the finite conjugate subgroup of G, then we show that K[G] has a polynomial part if and only if [G : Δ] < ∞ and |Δ′| < ∞. |
Mathematical Subject Classification
Primary: 20.80
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Milestones
Received: 25 May 1970
Published: 1 February 1971
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Authors |
| Donald Steven Passman | |
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