Generalizations of Hopfian and co-Hopfian modules.
Generalizations of morphic group rings.
Generalizations of principally quasi-injective modules and quasiprincipally injective modules.
Generalizations of the primitive element theorem.
Generalized adjoint semigroups of a ring.
Generalized Baer rings.
Generalized Brauer tree orders
Generalized canonical algebras and standard stable tubes
We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.
Generalized coil enlargements of algebras
Generalized derivations acting on multilinear polynomials in prime rings
Generalized derivations and commutativity of rings with involution.
Generalized derivations associated with Hochschild 2-cocycles on some algebras
We investigate a new type of generalized derivations associated with Hochschild 2-cocycles which was introduced by A. Nakajima. We show that every generalized Jordan derivation of this type from CSL algebras or von Neumann algebras into themselves is a generalized derivation under some reasonable conditions. We also study generalized derivable mappings at zero point associated with Hochschild 2-cocycles on CSL algebras.
Generalized derivations of prime rings.
Generalized derivations on Lie ideals in prime rings
Let be a prime ring with its Utumi ring of quotients and extended centroid . Suppose that is a generalized derivation of and is a noncentral Lie ideal of such that for all , where is a fixed integer. Then one of the following holds:
Generalized Derivations on (Semi-)Prime Rings and Noncommutative Banach Algebras
Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals
Generalized derivations with power values on rings and Banach algebras
Let be a prime ring and a nonzero ideal of The purpose of this paper is to classify generalized derivations of satisfying some algebraic identities with power values on More precisely, we consider two generalized derivations and of satisfying one of the following identities:
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