Abstract
The study of extensions of semigroups with identity (monoids) leads naturally to the study of extensions of categories. The fundamental structure is developed from the study of group extensions in the context of wreath products done by Krasner and Kaloujnine [1].
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References
M. Krasner and L. Kaloujnine, ‘Produit complet des groupes de permutations et problème d’extension de groupes,’ I, II, III, Acta. Sci. Math. Szeged, 13(1950), 208–230
M. Krasner and L. Kaloujnine, ‘Produit complet des groupes de permutations et problème d’extension de groupes,’ I, II, III, Acta. Sci. Math. Szeged, 14(1951), 39–66
M. Krasner and L. Kaloujnine, ‘Produit complet des groupes de permutations et problème d’extension de groupes,’ I, II, III, Acta. Sci. Math. Szeged, 14(1951), 69–82.
W. Nico, ‘Wreath Products and Extensions,’ Houston Journal of Mathematics, 9(1983), 71–99.
B. Tilson, ‘On the Complexity of Finite Semigroups,’ J. Pure and Appl. Algebra, 5(1974), 187–208.
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© 1987 D. Reidel Publishing Company
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Nico, W.R. (1987). Categorical Extension Theory — Revisited. In: Goberstein, S.M., Higgins, P.M. (eds) Semigroups and Their Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3839-7_15
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DOI: https://doi.org/10.1007/978-94-009-3839-7_15
Publisher Name: Springer, Dordrecht
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