Universal strict general actors and actors in categories of interest

DOI10.1007/s10485-008-9166-zzbMath1200.18001arXivmath/0702574OpenAlexW2129037387MaRDI QIDQ2268748

Manuel Ladra Gonzalez, Tamar Datuashvili, José Manuel Casas Mirás

Publication date: 9 March 2010

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702574

zbMATH Keywords

Lie algebraassociative algebraactionalternative algebracrossed moduleLeibniz algebracategory of interestgroup with operations

Mathematics Subject Classification ID

Special categories (18B99) Equational categories (18C05) Leibniz algebras (17A32) Automorphisms and endomorphisms of algebraic structures (08A35) Categories of algebras (08C05) Associative rings and algebras with additional structure (16W99)

Related Items

Unnamed Item, Non-abelian extensions of pre-Lie algebras, Actions and semi-direct products in categories of groups with action, Actions in the Category of Precrossed Modules in Lie Algebras, Categorical, homological, and homotopical properties of algebraic objects, From simplicial homotopy to crossed module homotopy in modified categories of interest, The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier of Leibniz algebras, A natural extension of the universal enveloping algebra functor to crossed modules of Leibniz algebras, Associative 2-algebras and nonabelian extensions of associative algebras, On the representability of actions of Leibniz algebras and Poisson algebras, Colimits of crossed modules in modified categories of interest, Biderivations of low-dimensional Leibniz algebras, Pentactions and action representability in the category of reduced groups with action, Obstruction theory in action accessible categories, Left-right noncommutative Poisson algebras, Algebras with representable representations, A push forward construction and the comprehensive factorization for internal crossed modules, Actor of a crossed module of Leibniz algebras, More on crossed modules in Lie, Leibniz, associative and diassociative algebras, Actor of a Lie–Leibniz Algebra, Universal strict general actors and actors in categories of interest, Obstructions to Lie–Rinehart Algebra Extensions, Action theory of alternative algebras, Actor of a Precrossed Module, Actor of a crossed module of dialgebras via tetramultipliers, Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

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