We give a characterization of those finitely complete categories with initial object and pushouts of split monomorphisms that admit categorical semidirect products. As an application we examine the case of groupoids with fixed set of objects. Further, we extend this to the internal case. (C) 2010 Elsevier B.V. All rights reserved.
Metere, G., Montoli, A. (2010). Semidirect products of internal groupoids. JOURNAL OF PURE AND APPLIED ALGEBRA, 214(10), 1854-1861 [10.1016/j.jpaa.2009.12.029].
Semidirect products of internal groupoids
METERE, Giuseppe;
2010-01-01
Abstract
We give a characterization of those finitely complete categories with initial object and pushouts of split monomorphisms that admit categorical semidirect products. As an application we examine the case of groupoids with fixed set of objects. Further, we extend this to the internal case. (C) 2010 Elsevier B.V. All rights reserved.
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