Derivations of prime rings having power central values

DOI10.1090/conm/013/685947zbMath0503.16002OpenAlexW4232893948MaRDI QIDQ3969070

I. N. Herstein

Publication date: 1982

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/013/685947

zbMATH Keywords

centerprime ringsderivations of ringsorder in simple algebradivision ring with finite centersubdirect product of commutative integral domains

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Division rings and semisimple Artin rings (16Kxx)

Related Items (21)

Derivations as a generalization of Jordan homomorphisms on Lie ideals and non-commutative Banach algebras. ⋮ An identity on automorphisms of Lie ideals in prime rings. ⋮ Generalized derivations with power central values on multilinear polynomials on right ideals. ⋮ A note on automorphisms of lie ideals in prime rings ⋮ Differential and difference algebra ⋮ Derivations with annihilator conditions on multilinear polynomials ⋮ Derivations with values satisfying a right or left S_2n–polynomial ⋮ Gabriel dimension of strong supplementary semilattice sums of rings ⋮ Unnamed Item ⋮ Associative rings ⋮ Extended Jacobson density theorem for rings with derivations and automorphisms ⋮ Centralizers and Vanishing Derivations on Multi-linear Polynomials in Prime Rings ⋮ Generalized Derivations with Power-Central Values on Multilinear Polynomials ⋮ Generalized skew derivations with nilpotent values on Lie ideals. ⋮ Algebraic commutators with respect to subnormal subgroups in division rings ⋮ Generalized Skew Derivations with Power Central Values on Lie Ideals ⋮ Derivations with power central values on multilinear polynomials in prime rings. ⋮ b-GENERALIZED DERIVATIONS OF SEMIPRIME RINGS HAVING NILPOTENT VALUES ⋮ Derivations with algebraic values ⋮ Annihilators of power values of derivations on Lie ideals of prime rings ⋮ Some results on ∗-differential identities in prime rings

This page was built for publication: Derivations of prime rings having power central values