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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

Piotr Malicki (1998)

Colloquium Mathematicae

Generalized derivations acting on multilinear polynomials in prime rings

Basudeb Dhara (2018)

Czechoslovak Mathematical Journal

Generalized derivations and commutativity of rings with involution.

Oukhtite, L., Salhi, S., Taoufiq, L. (2010)

Beiträge zur Algebra und Geometrie

Generalized derivations associated with Hochschild 2-cocycles on some algebras

Jiankui Li, Jiren Zhou (2010)

Czechoslovak Mathematical Journal

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.

Huang, Shuliang (2007)

International Journal of Mathematics and Mathematical Sciences

Generalized derivations on Lie ideals in prime rings

Basudeb Dhara, Sukhendu Kar, Sachhidananda Mondal (2015)

Czechoslovak Mathematical Journal

Let $R$ be a prime ring with its Utumi ring of quotients $U$ and extended centroid $C$ . Suppose that $F$ is a generalized derivation of $R$ and $L$ is a noncentral Lie ideal of $R$ such that $F (u) {[F (u), u]}^{n} = 0$ for all $u \in L$ , where $n \geq 1$ is a fixed integer. Then one of the following holds: (1) ...

Generalized Derivations on (Semi-)Prime Rings and Noncommutative Banach Algebras

Feng Wei, Zhankui Xiao (2009)

Rendiconti del Seminario Matematico della Università di Padova

Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals

Nurcan Argaç, Vincenzo De Filippis, H. G. Inceboz (2008)

Rendiconti del Seminario Matematico della Università di Padova

Generalized derivations with power values on rings and Banach algebras

Abderrahman Hermas, Abdellah Mamouni, Lahcen Oukhtite (2024)

Mathematica Bohemica

Let $R$ be a prime ring and $I$ a nonzero ideal of $R .$ The purpose of this paper is to classify generalized derivations of $R$ satisfying some algebraic identities with power values on $I .$ More precisely, we consider two generalized derivations $F$ and $H$ of $R$ satisfying one of the following identities: (1) ...

Generalized E-algebras via λ-calculus I

Rüdiger Göbel, Saharon Shelah (2006)

Fundamenta Mathematicae

An R-algebra A is called an E(R)-algebra if the canonical homomorphism from A to the endomorphism algebra $E n d_{R} A$ of the R-module $_{R} A$ , taking any a ∈ A to the right multiplication $a_{r} \in E n d_{R} A$ by a, is an isomorphism of algebras. In this case $_{R} A$ 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.

K. Dennis, B. Magurn, L. Vaserstein (1984)

Journal für die reine und angewandte Mathematik

Generalized flatness and coherence

Hana Jirásková (1980)

Commentationes Mathematicae Universitatis Carolinae

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