首页|Cohomology of Reynolds Leibniz Algebras of Nonzero Weight

Cohomology of Reynolds Leibniz Algebras of Nonzero Weight

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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.

Reynolds Leibniz algebracohomologyReynolds Leibniz 2-algebrascrossed module

Yizheng LI、Dingguo WANG

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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

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
年,卷(期):2024.44(6)