More on crossed modules in Lie, Leibniz, associative and diassociative algebras-Reference-Cited by-同舟云学术

More on crossed modules in Lie, Leibniz, associative and diassociative algebras

Published:2017-04-12 Issue:06 Volume:16 Page:1750107
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Casas J. M.¹,Casado R. F.²,Khmaladze E.³,Ladra M.²

Affiliation:

1. Department of Applied Mathematics I, University of Vigo, E. E. Forestal, 36005 Pontevedra, Spain

2. Department of Algebra, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain

3. A. Razmadze Mathematical Institute, Tbilisi State University, Tamarashvili St. 6, 0177 Tbilisi, Georgia

Abstract

Adjoint functors between the categories of crossed modules in dialgebras and Leibniz algebras are constructed. The well known relations between the categories of Lie, Leibniz, associative algebras and dialgebras are extended to the respective categories of crossed modules.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817501079

Reference17 articles.

1. Universal enveloping crossed module of a Lie crossed module

2. Universal Strict General Actors and Actors in Categories of Interest

3. Adjunction between crossed modules of groups and algebras

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