On generalized functional identities on prime rings

DOI10.1006/jabr.1997.7255zbMath0907.16008OpenAlexW2005854358MaRDI QIDQ1265513

Mikhail A. Chebotar

Publication date: 18 November 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7255

zbMATH Keywords

primitive idempotentsprime ringsextended centroidsgeneralized polynomial identitiesprimitive ringsgeneralized functional identities

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50)

Related Items

FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE, THE RANGES OF ADDITIVE MAPS IN GENERALIZED FUNCTIONAL IDENTITIES ON PRIME RINGS, On centralizing additive maps on rank one triangular matrices over division rings, Functional identities and their applications, On Herstein’s Lie map conjectures, I, Centralizing additive maps on rank r block triangular matrices, On functional identities in prime rings with involution, On the Multiplication Ring of a Prime Ring, Additive maps having a generalized derivation expansion, Generalized functional identities with (anti-)automorphisms and derivations on prime rings. I, On functional identities in left ideals of prime rings, On Functional Identities in Prime Rings with Involution II^*, On additive isomorphisms of prime rings preserving polynomials, On functional identities andd-free subsets of rings, I

Cites Work

• Unnamed Item
• Unnamed Item
• Prime nonassociative algebras
• Lie isomorphisms in prime rings with involution
• Functional identities of degree two
• Prime rings satisfying a generalized polynomial identity