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• W3208255979 endingPage "106940" @default.
• W3208255979 startingPage "106940" @default.
• W3208255979 abstract "A groupoid is a small category in which all morphisms are isomorphisms. An inductive groupoid is a specialized groupoid whose object set is a regular biordered set and the morphisms admit a partial order. A normal category is a specialized small category whose object set is a strict preorder and the morphisms admit a factorization property. A pair of ‘related’ normal categories constitutes a cross-connection. Both inductive groupoids and cross-connections were identified by Nambooripad as categorical models of regular semigroups. We explore the inter-relationship between these seemingly different categorical structures and prove a direct category equivalence between the category of inductive groupoids and the category of cross-connections." @default.
• W3208255979 created "2021-11-08" @default.
• W3208255979 creator A5053936374 @default.
• W3208255979 creator A5069761851 @default.
• W3208255979 date "2022-07-01" @default.
• W3208255979 modified "2023-10-16" @default.
• W3208255979 title "A tale of two categories: Inductive groupoids and cross-connections" @default.
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• W3208255979 doi "https://doi.org/10.1016/j.jpaa.2021.106940" @default.
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