Finite bands are finitely related
arXiv:1509.04509 · doi:10.1007/s00233-017-9897-y
Abstract
We prove that every finite idempotent semigroup (band) is finitely related, which means that the clone of its term operations (i.e. operations induced by words) is determined by finitely many relations. This solves an open problem posed by Peter Mayr in 2013.
14 pages, 1 figure