In this paper, we introduce the notions of non-abelian tensor and exterior products of two ideal graded crossed submodules of a given crossed module of Lie superalgebras. We also study some of their basic properties and their connection with the second homology of crossed modules of Lie superalgebras.

中文翻译：

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李超代数交叉模的非阿贝尔张量和外积

在本文中，我们介绍了李超代数的给定交叉模的两个理想梯度交叉子模的非阿贝尔张量和外积的概念。我们还研究了它们的一些基本性质以及它们与李超代数交叉模的第二同调的关系。