数学研究及应用2024，Vol.44Issue(6) ：741-753.DOI:10.3770/j.issn:2095-2651.2024.06.004

Cohomology of Reynolds Leibniz Algebras of Nonzero Weight

Yizheng LI Dingguo WANG
数学研究及应用2024，Vol.44Issue(6) ：741-753.DOI:10.3770/j.issn:2095-2651.2024.06.004
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Cohomology of Reynolds Leibniz Algebras of Nonzero Weight

Yizheng LI 1Dingguo WANG2
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作者信息

  • 1. School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China
  • 2. School of Mathematical Sciences,Qufu Normal University,Shandong 273165,P.R.China
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Abstract

In this paper,we define the cohomology of a Reynolds Leibniz algebra with coefficients in a suitable representation.We also introduce the notion of Reynolds Leibniz 2-algebras,and prove that strict Reynolds Leibniz 2-algebras are equivalent to crossed modules of Reynolds Leibniz algebras.

Key words

Reynolds Leibniz algebra/cohomology/Reynolds Leibniz 2-algebras/crossed module

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出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
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