CROSSED MODULES FOR HOM-LIE-RINEHART ALGEBRAS

被引：8
|
作者：
Zhang, Tao [1 ]
Han, Fengying [2 ]
Bi, Yanhui [2 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
[2] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2018年 / 152卷 / 01期
关键词：
Hom-Lie-Rinehart algebra; crossed module; cat(1)-Hom-Lie-Rinehart algebra;
D O I：
10.4064/cm7170-3-2017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of crossed modules for Hom-Lie Rinehart algebras. A detailed study of their construction from actions and semidirect products of Hom-Lie Rinehart algebras is given. We also introduce the notions of cat(1)-Hom-Lie-Rinehart algebras. It is proved that the category of crossed modules of Hom-Lie Rinehart algebras and the category of cat(1)-Hom-Lie-Rinehart algebras are equivalent to each other.
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页码：1 / 14
页数：14
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