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Kan Extensions of Internal Functors. Algebraic Approach

Kan Extensions of Internal Functors. Algebraic Approach Abstract We investigate the question of the Kan extension in the case when all categories and functors are internal in the category of groups. Under certain assumptions we establish the necessary and sufficient conditions for the existence of internal Kan extensions. Questions related to this problem are also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Kan Extensions of Internal Functors. Algebraic Approach

Georgian Mathematical Journal , Volume 6 (2) – Apr 1, 1999

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References (4)

Publisher
de Gruyter
Copyright
© 1999 Plenum Publishing Corporation
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.1999.127
Publisher site
See Article on Publisher Site

Abstract

Abstract We investigate the question of the Kan extension in the case when all categories and functors are internal in the category of groups. Under certain assumptions we establish the necessary and sufficient conditions for the existence of internal Kan extensions. Questions related to this problem are also discussed.

Journal

Georgian Mathematical Journalde Gruyter

Published: Apr 1, 1999

Keywords: Crossed module; internal category; Kan extension

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