6533b7dcfe1ef96bd1272a5a

RESEARCH PRODUCT

Semidirect products of internal groupoids

Andrea MontoliGiuseppe Metere

subject

Set (abstract data type)AlgebraSettore MAT/02 - AlgebraHigher-dimensional algebraAlgebra and Number Theorysemi-direct product groupoid internal structuresMathematics::Category TheoryCharacterization (mathematics)Categorical variableInitial and terminal objectsMathematics

description

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.

yearjournalcountryeditionlanguage
2010-10-01Journal of Pure and Applied Algebra
10.1016/j.jpaa.2009.12.029http://dx.doi.org/10.1016/j.jpaa.2009.12.029