Generalized Derivations on (Semi-)Prime Rings and Noncommutative Banach Algebras
Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals
Generalized E-algebras via λ-calculus I
An R-algebra A is called an E(R)-algebra if the canonical homomorphism from A to the endomorphism algebra of the R-module , taking any a ∈ A to the right multiplication by a, is an isomorphism of algebras. In this case is called an E(R)-module. There is a proper class of examples constructed in [4]. E(R)-algebras arise naturally in various topics of algebra. So it is not surprising that they were investigated thoroughly in the last decades; see [3, 5, 7, 8, 10, 13, 14, 15, 18, 19]. Despite...
Generalized euclidean group rings.
Generalized flatness and coherence
Generalized fuzzy -ideals of semirings with interval-valued membership functions.
Generalized Higher Derivations on Lie Ideals of Triangular Algebras
Let be the triangular algebra consisting of unital algebras and over a commutative ring with identity and be a unital -bimodule. An additive subgroup of is said to be a Lie ideal of if . A non-central square closed Lie ideal of is known as an admissible Lie ideal. The main result of the present paper states that under certain restrictions on , every generalized Jordan triple higher derivation of into is a generalized higher derivation of into .
Generalized Identities and Semiprime Rings with Involution.
Generalized injectivity
Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras
In this paper, we investigate a new type of generalized derivations associated with Hochschild 2-cocycles which is introduced by A.Nakajima (Turk. J. Math. 30 (2006), 403–411). We show that if is a triangular algebra, then every generalized Jordan derivation of above type from into itself is a generalized derivation.
Generalized lifting modules.
Generalized Morita equivalence for linearly topologized rings
Generalized morphisms of abelian m-ary groups
We prove that the set of all n-ary endomorphisms of an abelian m-ary group forms an (m,n)-ring.
Generalized -coherence
In this paper necessary and sufficient conditions for large subdirect products of -flat modules from the category to be -flat are given.
Generalized one-point extensions.
Generalized periodic and generalized Boolean rings.
Generalized periodic rings.
Generalized primary rings and ideals.
Generalized projectivity
Generalized projectivity. II.