Derivations with Invertible Values

DOI10.4153/CJM-1983-016-0zbMath0522.16031OpenAlexW2331766510MaRDI QIDQ3672143

Jeffrey Bergen, Charles Lanski, I. N. Herstein

Publication date: 1983

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1983-016-0

zbMATH Keywords

division ringmatrix ringderivations of rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Division rings and semisimple Artin rings (16Kxx)

Related Items (20)

Generalized Derivations with Invertible Values ⋮ Extended Jacobson Density Theorem for Rings With Skew Derivations ⋮ Unnamed Item ⋮ Alternative and Jordan algebras admitting ternary derivations with invertible values ⋮ On derivations involving prime ideals and commutativity in rings ⋮ Jordan algebras admitting derivations with invertible values ⋮ Prime ideals and generalized derivations with central values on rings ⋮ Generalized Skew Derivations with Invertible Values on Multilinear Polynomials ⋮ Derivations With Invertible Values on a Multilinear Polynomial ⋮ Extended Jacobson density theorem for rings with derivations and automorphisms ⋮ Derivations on multilinear polynomials in semiprime rings ⋮ Multilinear polynomials with invertible values ⋮ Unnamed Item ⋮ Derivations of upper triangular matrix rings ⋮ Generalized Derivations with Invertible or Nilpotent Values on Multilinear Polynomials ⋮ Derivations over amalgamated algebras along an ideal ⋮ Superderivations with invertible values ⋮ Structure of a quotient ring \(R/P\) with generalized derivations acting on the prime ideal P and some applications ⋮ Lie ideals with regular and nilpotent elements and a result on derivations ⋮ Derivations with algebraic values of bounded degree

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