We introduce the notion of almost commutative $Q$-algebras and demonstrate how the derived bracket formalism of Kosmann–Schwarzbach generalises to this setting. In particular, we construct ‘almost commutative Lie algebroids’ following Vaıntrob’s $Q$-manifold understanding of classical Lie algebroids. We show that the basic tenets of the theory of Lie algebroids carry over verbatim to the almost commutative world.

中文翻译：

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几乎可交换的$ Q $代数和派生的括号

我们介绍了几乎可交换的$ Q $代数的概念，并演示了Kosmann–Schwarzbach派生的括号形式主义如何推广到这种情况。尤其是，我们根据Vaıntrob对经典李代数的$ Q $流形理解来构造“几乎可交换李代数”。我们证明了李代数理论的基本原理逐字逐句地推广到了几乎可交换的世界。