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Relational Semigroups and Object-Free Categories (2001.11895v1)
Published 31 Jan 2020 in cs.LO
Abstract: This note relates axioms for partial semigroups and monoids with those for small object-free categories, either with multiple monoidal units or with source and target maps. We discuss the adjunction of a zero element to both kinds of category and provide examples that separate the algebras considered.