Local loop lemma

Published 23 Feb 2019 in math.LO and math.CO | (1902.08791v1)

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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Authors (1)

Miroslav Olšák

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