Rings with generalized identities. III

zbMath0407.16002MaRDI QIDQ1257952

Kostia I. Beidar

Publication date: 1978

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

Endomorphism RingFull Right Quotient RingSemiprime Gpi-RingStrongly Regular Self-Injective Pi-Ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Conditions on elements (16U99) Localization and associative Noetherian rings (16P50) Rings with polynomial identity (16Rxx)

Related Items (37)

Commutators with idempotent values on multilinear polynomials in prime rings ⋮ On an identity involving generalized derivations and Lie ideals of prime rings ⋮ Right sided ideals and multilinear polynomials with derivation on prime rings. ⋮ Products of derivations which act as Lie derivations on commutators of right ideals. ⋮ A note on Posner's theorem with generalized derivations on Lie ideals. ⋮ Commuting product of generalized derivations on multilinear polynomials in prime rings ⋮ Generalized derivations with annihilating and centralizing Engel conditions on Lie ideals. ⋮ Centralizers of generalized derivations on multilinear polynomials in prime rings. ⋮ Prime Rings with Generalized Derivations and Power Values on Lie Ideals ⋮ Right ideals and derivations on multilinear polynomials ⋮ A product of two generalized derivations on polynomials in prime rings. ⋮ Maximal right nearring of quotients and semigroup generalized polynomial identity ⋮ A quadratic generalized differential identity on Lie ideals of Prime Rings ⋮ Cocentralizing derivations and nilpotent values on Lie ideals. ⋮ Generalized derivations with nilpotent, power-central, and invertible values in prime and semiprime rings ⋮ Two-sided annihilator condition with generalized derivations on multilinear polynomials ⋮ Generalized derivations and commuting additive maps on multilinear polynomials in prime rings ⋮ A quadratic differential identity with generalized derivations on multilinear polynomials in prime rings. ⋮ Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings ⋮ Multilinear polynomials and cocentralizing conditions in prime rings. ⋮ The intersection property in the theory of radicals of topological algebras ⋮ Identities with generalized derivations in prime rings. ⋮ Generalized derivations and left multipliers on Lie ideals. ⋮ Local Lesieur-Croisot theory of Jordan algebras ⋮ Annihilator of power values of generalized derivations in prime rings ⋮ Product of Generalized Derivations with Commuting Values on a Lie Ideal ⋮ On generalized derivations in prime ring with skew-commutativity conditions. ⋮ Engel conditions of generalized derivations on left ideals and Lie ideals in prime rings ⋮ Power values of quadratic polynomials with generalized skew derivations on Lie ideals ⋮ Generalized derivations with skew-commutativity conditions on polynomials in prime rings ⋮ Derivations with power central values on multilinear polynomials in prime rings. ⋮ Generalized derivations preserving Engel condition in prime and semiprime rings ⋮ Strong commutativity preserving generalized derivations on multilinear polynomials ⋮ Modules ⋮ On additive isomorphisms of prime rings preserving polynomials ⋮ Posner’s second theorem and some related annihilating conditions on lie ideals ⋮ Power-commuting skew derivations on Lie ideals.

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