Derivations in commutators with power central values in rings
Copyright policy )Derivations in commutators with power central values in rings
Let \(R\) be a prime ring of characteristic not 2, let \(I\) be a nonzero ideal of \(R\), and let \(d\) be a nonzero derivation of \(R\). Suppose there exist positive integers \(n\) and \(k\) such that \([d(x^k),x^k]^n\) is central for every \(x\in I\). Then \(R\) satisfies the standard polynomial identity of degree \(4\).
- Jilin Normal University China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
Prime and semiprime associative rings, Other kinds of identities (generalized polynomial, rational, involution), differential identities, derivations, Derivations, actions of Lie algebras, prime rings, Center, normalizer (invariant elements) (associative rings and algebras), generalized polynomial identities
Prime and semiprime associative rings, Other kinds of identities (generalized polynomial, rational, involution), differential identities, derivations, Derivations, actions of Lie algebras, prime rings, Center, normalizer (invariant elements) (associative rings and algebras), generalized polynomial identities
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