# Is supernilpotence super nilpotence?

**Authors:** Keith A. Kearnes, \'Agnes Szendrei

arXiv: 1907.03216 · 2019-07-16

## TL;DR

This paper proves that supernilpotence is equivalent to nilpotence in finite algebras, clarifying a long-standing question in algebraic theory.

## Contribution

It establishes that supernilpotence and nilpotence coincide in finite algebras, resolving a key open problem.

## Key findings

- Supernilpotence equals nilpotence in finite algebras
- Provides a definitive answer to the supernilpotence question
- Clarifies the structure of finite algebras with respect to nilpotence

## Abstract

We show that the answer to the question in the title is: ``Yes, for finite algebras.''

## Full text

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## References

18 references — full list in the complete paper: https://tomesphere.com/paper/1907.03216/full.md

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Source: https://tomesphere.com/paper/1907.03216