arXiv 2005.024612020-05-05math.GRmath.LOmath.RA

Representing subalgebras as retracts of finite subdirect powers

Keith A. Kearnes, Alexander Rasstrigin

备注：: 13 pages. Keywords: abelian, formation, higher commutator, pseudovariety, supernilpotent, two term condition, unary algebra

英文摘要：

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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