Local loop lemma

Miroslav Olšák

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arXiv · 1902.08791

Local loop lemma

Miroslav Olšák

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Abstract

We prove that an idempotent operation generates a loop from a strongly connected digraph containing directed cycles of all lengths under very mild (local) algebraic assumptions. Using the result, we reprove the existence of a weakest non-trivial idempotent equations, and that a strongly connected digraph with algebraic length 1 compatible with a Taylor term has a loop.

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BibTeX RIS

Miroslav Olšák. 2019-02-23. Local loop lemma. https://arxiv.org/abs/1902.08791

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