Actors in categories of interest

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dc.creatorCasas, J. M.
dc.creatorDatuashvili, T.
dc.creatorLadra, M.
dc.date2007-02-20
dc.date2007-02-25
dc.date.accessioned2026-07-07T07:48:22Z
dc.date.available2026-07-07T07:48:22Z
dc.descriptionFor an object $A$ of a category of interest $\mathbb{C}$ we construct the group with operations ${\mathfrak{B}}(A)$ and the semidirect product ${\mathfrak{B}}(A)\ltimes A$ and prove that there exists an actor of $A$ in $\mathbb{C}$ if and only if ${\mathfrak{B}}(A)\ltimes A \in \mathbb{C}$. The cases of groups, Lie, Leibniz, associative, commutative associative, alternative algebras, crossed and precrossed modules are considered. The paper contains some results for the case $Ω_2 = \{+,*,*^{\circ}\}$.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0702574
dc.identifierhttp://arxiv.org/abs/math/0702574
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124473
dc.subjectCategory Theory
dc.subjectRepresentation Theory
dc.subjectPrimary: 18A99; secondary: 16W25, 17A32
dc.titleActors in categories of interest
dc.typetext

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