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Normalized Bicategories Internal to Groups and more General Mal’tsev Categories

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Abstract

A detailed description of a normalized internal bicategory in the category of groups is derived from the general description of internal bicategories in weakly Mal’tsev categories endowed with a V-Mal’tsev operation in the sense of Pedicchio. The example of bicategory of paths in a topological abelian group is presented.

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Acknowledgments

Thanks are due to Andrea Montoli and Manuela Sobral for many helpful comments and suggestions on the text. Also to the anonymous referee for suggesting many improvements related with the readability and the coherence between the material that is treated in this paper. This research work was supported by the Portuguese Foundation for Science and Technology (FCT) through the Project reference UID/ Multi/04044/2013, post doctoral grant SFRH/BPD/43216/2008 at CMUC, projects PTDC/MAT/120222/2010 and PTDC/EME-CRO/120585/2010, and also by CDRSP and ESTG from the Polytechnic Institute of Leiria.

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  1. School of Technology and Management-ESTG, Centre for Rapid and Sustainable Product Development-CDRSP, Polytechnic Institute of Leiria, 2411-901, Leiria, Portugal

    Nelson Martins-Ferreira

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  1. Nelson Martins-Ferreira
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Correspondence to Nelson Martins-Ferreira.

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This research work was supported by the Portuguese Foundation for Science and Technology (FCT) through the Project reference UID/Multi/04044/2013, the Post Doctoral grant SFRH/BPD/43216/2008 at CMUC, the projects PTDC/MAT/120222/2010 and PTDC/EME-CRO/120585/2010, and also by CDRSP and ESTG from the Polytechnic Institute of Leiria.

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Martins-Ferreira, N. Normalized Bicategories Internal to Groups and more General Mal’tsev Categories. Appl Categor Struct 25, 1137–1158 (2017). https://doi.org/10.1007/s10485-017-9486-y

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