Right sided ideals and multilinear polynomials with derivation on prime rings.

DOI10.4171/RSMUP/121-15zbMath1184.16045MaRDI QIDQ2389066

Basudeb Dhara, Rajendra K. Sharma

Publication date: 22 July 2009

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108760

zbMATH Keywords

derivationsprime ringsmultilinear polynomials

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)

Related Items (7)

Composition and orthogonality of derivations with multilinear polynomials in prime rings ⋮ An identity on generalized derivations involving multilinear polynomials in prime rings ⋮ Generalized derivations and multilinear polynomials in prime rings ⋮ Generalized derivations of order 2 on multilinear polynomials in prime rings ⋮ Generalized derivations and commuting additive maps on multilinear polynomials in prime rings ⋮ Derivations vanishing on commutators with generalized derivation of order 2 in prime rings ⋮ A note on generalized derivations of order 2 and multilinear polynomials in prime rings

Cites Work

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• One-Sided Ideals and Derivations of Prime Rings
• Derivations with Engel conditions on multilinear polynomials
• Posner's second theorem, multilinear polynomials and vanishing derivations
• Left Annihilators Characterized by GPIS

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