Research Article

Actions of Double Group-groupoids and Covering Morphism

Volume: 33 Number: 4 December 1, 2020
EN

Actions of Double Group-groupoids and Covering Morphism

Abstract

The purpose of the paper is to consider the covering morphism and the action of a double groupoid on a groupoid; and then characterize these notions for double group- groupoids. We also give a categorical equivalence between the actions and covering morphisms of double group-groupoids.                                                                                                                                                                                                                         

Keywords

References

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  6. Akız, H. F., Alemdar, N., Mucuk, O. and S¸ahan, T., “ Coverings of internal groupoids and crossed modules in the category of groups with operations” Georgian Math. J. 20 ( 2) : 223-238, (2013).
  7. Baez, J. C. and Lauda, A. D., “Higher-dimensional algebra V. 2-groups.” Theory Appl. Categ. 12 : 423-491, (2004).
  8. Brown, R., Higgins, P. J. and Sivera, R., Nonabelian algebraic topology. Filtered spaces, crossed complexes, cubical homotopy groupoids, EMS Tracts in Mathematics, 15. European Mathematical Society (EMS), Zu¨rich xxxvi+668 pp. ISBN: 978-3-03719-083-8, (2011).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 1, 2020

Submission Date

August 9, 2019

Acceptance Date

June 9, 2020

Published in Issue

Year 2020 Volume: 33 Number: 4

APA
Demir, S., & Mucuk, O. (2020). Actions of Double Group-groupoids and Covering Morphism. Gazi University Journal of Science, 33(4), 810-819. https://doi.org/10.35378/gujs.604849
AMA
1.Demir S, Mucuk O. Actions of Double Group-groupoids and Covering Morphism. Gazi University Journal of Science. 2020;33(4):810-819. doi:10.35378/gujs.604849
Chicago
Demir, Serap, and Osman Mucuk. 2020. “Actions of Double Group-Groupoids and Covering Morphism”. Gazi University Journal of Science 33 (4): 810-19. https://doi.org/10.35378/gujs.604849.
EndNote
Demir S, Mucuk O (December 1, 2020) Actions of Double Group-groupoids and Covering Morphism. Gazi University Journal of Science 33 4 810–819.
IEEE
[1]S. Demir and O. Mucuk, “Actions of Double Group-groupoids and Covering Morphism”, Gazi University Journal of Science, vol. 33, no. 4, pp. 810–819, Dec. 2020, doi: 10.35378/gujs.604849.
ISNAD
Demir, Serap - Mucuk, Osman. “Actions of Double Group-Groupoids and Covering Morphism”. Gazi University Journal of Science 33/4 (December 1, 2020): 810-819. https://doi.org/10.35378/gujs.604849.
JAMA
1.Demir S, Mucuk O. Actions of Double Group-groupoids and Covering Morphism. Gazi University Journal of Science. 2020;33:810–819.
MLA
Demir, Serap, and Osman Mucuk. “Actions of Double Group-Groupoids and Covering Morphism”. Gazi University Journal of Science, vol. 33, no. 4, Dec. 2020, pp. 810-9, doi:10.35378/gujs.604849.
Vancouver
1.Serap Demir, Osman Mucuk. Actions of Double Group-groupoids and Covering Morphism. Gazi University Journal of Science. 2020 Dec. 1;33(4):810-9. doi:10.35378/gujs.604849