Derivations in prime rings

1957/12/01 by Edward C. Posner · 11 citations
Mathematics · #Advanced Topics in Algebra #Rings, Modules, and Algebras #Algebraic structures and combinatorial models

paper · doi:10.1090/s0002-9939-1957-0095863-0

Abstract

iqaqaq)bq + qaqbqaq = 0

Cited by

• Commuting mappings of generalized matrix algebras
• Multiplicative Lie n-derivations of triangular rings
• Lie triple derivations of triangular algebras
• Semi-centralizing maps of generalized matrix algebras
• Differential identities and <i>S</i> -Jordan derivations over <i>S</i> -prime and <i>S</i> -semiprime rings
• Generalized derivations in rings^*
• Certain algebraic identities on prime rings with involution
• Biderivations of finite dimensional complex simple Lie algebras
• σ-Mappings of triangular algebras
• When a quotient of a distributive lattice is a boolean algebra
• Biderivations of the twisted Heisenberg-Virasoro algebra and their applications

Related

• Commuting Jordan derivations over a Ring with idempotents
• A note on power values of derivation in prime and semiprime rings
• Generalized derivations in rings^*
• Explicit formulae for primes in arithmetic progressions, I
• Arbitrarily Long Arithmetic Progressions of Primes on the Nose