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On categories with semidirect products

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Necessary and sufficient conditions for a pointed category to admit semidirect products, in the sense of Bourn and Janelidze (1998) [3], are provided and interpreted in terms of protomodularity and exactness of appropriate split chains.

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Nelson Martins-Ferreira, Manuela Sobral, On categories with semidirect products, Journal of Pure and Applied Algebra, Volume 216, Issues 8–9, 2012, Pages 1968-1975, ISSN 0022-4049, https://doi.org/10.1016/j.jpaa.2012.02.035.

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