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 \(\mathbb A\).

中文翻译：

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将子代数表示为有限次幂的缩进

我们证明，如果\（{\ mathbb {A}} \）是一个相对于2项高换向子是超幂次的代数，并且\（{\ mathbb {B}} \）是\（{ \ mathbb {A}} \），则\（{\ mathbb {B}} \）可表示为\（\ mathbb A \）的有限次幂的缩进。