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.
Generalized quivers associated to reductive groups
We generalize the definition of quiver representation to arbitrary reductive groups. The classical definition corresponds to the general linear group. We also show that for classical groups our definition gives symplectic and orthogonal representations of quivers with involution inverting the direction of arrows.
Generalized quotients of hemirings
Generalized radical rings, unknotted biquandles, and quantum groups
Generalized radical rings (braces) were introduced for the study of set-theoretical solutions of the quantum Yang-Baxter equation. We discuss their relationship to groups of I-type, virtual knot theory, and quantum groups.