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Let $R$ be a prime ring of char $R \neq 2$ with a nonzero derivation $d$ and let $U$ be its noncentral Lie ideal. If for some fixed integers $n_{1} \geq 0, n_{2} \geq 0, n_{3} \geq 0$ , ${(u^{n_{1}} [d (u), u] u^{n_{2}})}^{n_{3}} \in Z (R)$ for all $u \in U$ , then $R$ satisfies $S_{4}$ , the standard identity in four variables.

Discrete Analogues of the Heisenberg-Weyl Algebra.

Philip Feinsilver (1987)

Monatshefte für Mathematik

Dyhendral Hyperhomology Of A Chain Algebra With Involution

A. Vučić, R. Živaljević (1991)

Publications de l'Institut Mathématique

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Decomposition of Mal'cev-Neumann division algebras with involution.

Derivation-like mappings for normal elements in prime rings with involution.

Derivations and multilinear polynomials

Derivations in rings with involution

Derivations with power central values on Lie ideals in prime rings

Discrete Analogues of the Heisenberg-Weyl Algebra.

Dyhendral Hyperhomology Of A Chain Algebra With Involution

Currently displaying 1 – 7 of 7