English

Relational Semigroups and Object-Free Categories

Logic in Computer Science 2020-02-03 v1

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.

Keywords

Cite

@article{arxiv.2001.11895,
  title  = {Relational Semigroups and Object-Free Categories},
  author = {James Cranch and Simon Doherty and Georg Struth},
  journal= {arXiv preprint arXiv:2001.11895},
  year   = {2020}
}
R2 v1 2026-06-23T13:26:43.778Z