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arXiv · 2005.02461

Representing subalgebras as retracts of finite subdirect powers

Keith A. Kearnes·Alexander Rasstrigin
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Abstract

We prove that if $\mathbb A$ is an algebra that is supernilpotent with respect to the $2$-term higher commutator, and $\mathbb B$ is a subalgebra of $\mathbb A$, then $\mathbb B$ is representable as a retract of a finite subdirect power of $\mathbb A$.

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Keith A. Kearnes, Alexander Rasstrigin. 2020-05-05. Representing subalgebras as retracts of finite subdirect powers. https://arxiv.org/abs/2005.02461

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