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Projective and injective symmetric categorical groups and duality


Author: Teimuraz Pirashvili
Journal: Proc. Amer. Math. Soc. 143 (2015), 1315-1323
MSC (2010): Primary 55-XX; Secondary 18-XX
DOI: https://doi.org/10.1090/S0002-9939-2014-12354-9
Published electronically: October 16, 2014
MathSciNet review: 3293744
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Abstract: We prove that the 2-category of symmetric categorical groups have enough projective and injective objects.


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Teimuraz Pirashvili
Affiliation: Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom
Email: tp59-at-le.ac.uk

DOI: https://doi.org/10.1090/S0002-9939-2014-12354-9
Received by editor(s): May 23, 2013
Received by editor(s) in revised form: June 9, 2013
Published electronically: October 16, 2014
Additional Notes: This research was partially supported by the grant “DI/27/5-103/12, D-13/2 Homological and categorical methods in topology, algebra and theory of stacks”
Communicated by: Michael A. Mandell
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.