On embedding categories in groupoids

DOI10.1017/S0305004108001345zbMath1157.20029OpenAlexW2132467055MaRDI QIDQ3524084

Peter T. Johnstone

Publication date: 8 September 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004108001345

zbMATH Keywords

group embeddable semigroupsMalcev conditionsgroup embeddabilityLambek conditions

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (2)

Embedding semigroups in groups: not as simple as it might seem ⋮ Directed Homotopy in Non-Positively Curved Spaces

Cites Work

• On the immersion of an algebraic ring into a field
• The Embedding Theorems of Malcev and Lambek
• The Embeddability of a Semigroup--Conditions Common to Mal'cev and Lambek
• The Immersibility of a Semigroup into a Group
• Unnamed Item

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