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Group rings satisfying a polynomial identity

✍ Scribed by D.S Passman


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
720 KB
Volume
20
Category
Article
ISSN
0021-8693

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Using the trivial observation that one can get polynomial identities on \(R\) from the ones of \(M_{k}(R)\) we derive from the Amitsur-Levitzki theorem a subset of the identities on \(n \times n\) matrices, obtained recently by Szigeti, Tuza, and RΓ©vΓ©sz starting from directed Eulerian graphs, which

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If Οƒ is an automorphism and Ξ΄ is a q-skew Οƒ-derivation of a ring R, then the subring of invariants is the set R Ξ΄ = r ∈ R Ξ΄ r = 0 . The main result of this paper is Theorem. Let R be a prime algebra with a q-skew Οƒ-derivation Ξ΄, where Ξ΄ and Οƒ are algebraic. If R Ξ΄ satisfies a P. I., then R satisfies