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Local structure of idempotent algebras II (2006.10239v3)
Published 18 Jun 2020 in cs.LO and math.CO
Abstract: In this paper we continue the study of edge-colored graphs associated with finite idempotent algebras initiated in arXiv:2006.09599. We prove stronger connectivity properties of such graphs that will allows us to demonstrate several useful structural features of subdirect products of idempotent algebras such as rectangularity and 2-decomposition.