EN
TR
THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS
Abstract
In this paper we prove that the group structure of a group object in the category of groupoids lifts to a covering groupoid. We also prove similar results for a R-module object in the category of groupoids
Keywords
References
- Bateson, A. Fundamental groups of topological R-modules, Trans. Amer. Math. Soc. 270 (2), –536, 1982.
- Brown, R. Topology and groupoids, (BookSurge LLC, North Carolina, 2006).
- Brown, R. and Danesh-Naruie, G. The fundamental groupoid as a topological groupoid, Proc. Edinburgh Math. Soc. 19 (2), 237–244, 1975.
- Brown, R. and Mucuk, O. Covering groups of non-connected topological groups revisited, Math. Proc. Camb. Phill. Soc. 115, 97–110, 1994.
- Brown, R. and Spencer, C. B. G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Konn. Ned. Akad. v. Wet. 79, 296–302, 1976.
- Chevalley, C. Theory of Lie groups, (Princeton University Press, United States of America, ). Higgins, P. J. Notes on categories and groupoids (Van Nostrand Reinhold Company, Durham, England, 1971).
- Mucuk, O., Kılı¸carslan, B., S¸ahan, T. and Alemdar, N. Group-groupoid and monodromy groupoid, Topology Appl. 158, 2034–2042, 2011.
- Mucuk, O. Covering groups of non-connected topological groups and the monodromy groupoid of a topological groupoid(PhD Thesis, University of Wales, 1993).
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
June 1, 2012
Submission Date
May 11, 2014
Acceptance Date
-
Published in Issue
Year 2012 Volume: 41 Number: 6
APA
Alemdar, N., & Mucuk, O. (2012). THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS. Hacettepe Journal of Mathematics and Statistics, 41(6), 813-822. https://izlik.org/JA64LN32HM
AMA
1.Alemdar N, Mucuk O. THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS. Hacettepe Journal of Mathematics and Statistics. 2012;41(6):813-822. https://izlik.org/JA64LN32HM
Chicago
Alemdar, Nazmiye, and Osman Mucuk. 2012. “THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS”. Hacettepe Journal of Mathematics and Statistics 41 (6): 813-22. https://izlik.org/JA64LN32HM.
EndNote
Alemdar N, Mucuk O (June 1, 2012) THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS. Hacettepe Journal of Mathematics and Statistics 41 6 813–822.
IEEE
[1]N. Alemdar and O. Mucuk, “THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, pp. 813–822, June 2012, [Online]. Available: https://izlik.org/JA64LN32HM
ISNAD
Alemdar, Nazmiye - Mucuk, Osman. “THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS”. Hacettepe Journal of Mathematics and Statistics 41/6 (June 1, 2012): 813-822. https://izlik.org/JA64LN32HM.
JAMA
1.Alemdar N, Mucuk O. THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS. Hacettepe Journal of Mathematics and Statistics. 2012;41:813–822.
MLA
Alemdar, Nazmiye, and Osman Mucuk. “THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 6, June 2012, pp. 813-22, https://izlik.org/JA64LN32HM.
Vancouver
1.Nazmiye Alemdar, Osman Mucuk. THE LIFTINGS OF R-MODULES TO COVERING GROUPOIDS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 Jun. 1;41(6):813-22. Available from: https://izlik.org/JA64LN32HM