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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