Integral extensions of rings satisfying a polynomial identity
β Scribed by William Schelter
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 683 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
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
If Ο is an automorphism and Ξ΄ is a q-skew Ο-derivation of a ring R, then the subring of invariants is the set R Ξ΄ = r β R Ξ΄ r = 0 . The main result of this paper is Theorem. Let R be a prime algebra with a q-skew Ο-derivation Ξ΄, where Ξ΄ and Ο are algebraic. If R Ξ΄ satisfies a P. I., then R satisfies