Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

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Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

TAYLOR & FRANCIS INC

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We investigate the representability of actions in the category of (pre)crossed modules in Leibniz algebras. For this, we construct an actor of a (pre)cat(1)-Leibniz algebra and then by using the natural equivalence of the categories of (pre)cat(1)-Leibniz algebras and that of (pre)crossed modules, we construct the split extension classifier of the corresponding (pre)crossed module.

Açıklama

Anahtar Kelimeler

Action, Actor, Precrossed Module, Split Extension Classifier

Kaynak

COMMUNICATIONS IN ALGEBRA

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

45

Sayı

5

Künye