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math.GR2019★ 2 cited
Cross-connection structure of locally inverse semigroups
P. A. Azeef Muhammed, M. V. Volkov, K. Auinger
Locally inverse semigroups are regular semigroups whose idempotents form pseudo-semilattices. We characterise the categories that correspond to locally inverse semigroups in the re…
math.CT2019
A Tale of Two Categories: Inductive groupoids and Cross-connections
P. A. Azeef Muhammed, Mikhail V. Volkov
A groupoid is a small category in which all morphisms are isomorphisms. An inductive groupoid is a specialised groupoid whose object set is a regular biordered set and the morphism…