GENERALIZED HOM-LIE STRUCTURE OF MONOIDAL HOM-ALGEBRAS IN A CATEGORY-Reference-Cited by-同舟云学术

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GENERALIZED HOM-LIE STRUCTURE OF MONOIDAL HOM-ALGEBRAS IN A CATEGORY

Published:2014-02-25 Issue:05 Volume:13 Page:1350149
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

DONG LIHONG¹,HUANG RUIFANG²,WANG SHENGXIANG³

Affiliation:

1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China

2. Basic Department, Jiyuan Vocational and Technical College, Jiyuan Henan 454650, P. R. China

3. School of Mathematics Sciences, Chuzhou University, Chuzhou 239000, P. R. China

Abstract

In this paper, we study the structure of monoidal Hom-Lie algebras in the category Hℳ of H-modules for a triangular Hopf algebra (H, R) and in particular the H-Lie structure of a monoidal Hom-algebra in Hℳ by analogy with that of generalized Lie algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813501491

Reference14 articles.

1. Hom-Lie superalgebras and Hom-Lie admissible superalgebras

2. Deformations of Lie algebras using σ-derivations

3. Quantum Groups

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. General Hom–Lie algebra;Journal of Algebra and Its Applications;2016-03-30

2. Hom-ideal structure of monoidal Hom-algebras in a category;Journal of Algebra and Its Applications;2015-03-17

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