典型文献
On Split Regular Hom-Leibniz-Rinehart Algebras
文献摘要：
In this paper,we introduce the notion of the Hom-Leibniz-Rinehart algebra as an algebraic analogue of Hom-Leibniz algebroid,and prove that such an arbitrary split regular Hom-Leibniz-Rinehart algebra L is of the form L=U+∑γIγ with U a subspace of a maximal abelian subalgebra H and any Iγ,a well described ideal of L,satisfying[Iγ,Is]=0 if[γ]≠[δ].In the sequel,we develop techniques of connections of roots and weights for split Hom-Leibniz-Rinehart algebras,respectively.Finally,we study the structures of tight split regular Hom-Leibniz-Rinehart algebras.
文献关键词：
中图分类号：
作者姓名：
Shuangjian GUO;Xiaohui ZHANG;Shengxiang WANG
作者机构：
School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China;School of Mathematical Sciences,Qufu Normal University,Shandong 273165,P.R.China;School of Mathematics and Finance,Chuzhou University,Anhui 239000,P.R.China
文献出处：
引用格式：
[1]Shuangjian GUO;Xiaohui ZHANG;Shengxiang WANG-.On Split Regular Hom-Leibniz-Rinehart Algebras)[J].数学研究及应用,2022(05):481-498
A类：
algebroid,subalgebra
B类：
On,Split,Regular,Hom,Leibniz,Rinehart,Algebras,In,this,paper,introduce,notion,algebraic,analogue,prove,that,such,arbitrary,split,regular,form,U+,subspace,maximal,abelian,any,well,described,ideal,satisfying,Is,if,sequel,develop,techniques,connections,roots,weights,algebras,respectively,Finally,study,structures,tight
AB值：
0.510134
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