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Crossed modules of bigroups and bicrossed modules of bigroups
Other Title(s)
الموديولات المتصالبة لرمز الثنائية و الموديولات المتصالبة الثنائية لرمزالثنائية
Author
Source
Issue
Vol. 10, Issue 1 (31 Mar. 2015), pp.17-27, 11 p.
Publisher
University of Thi-Qar Research and Development Department
Publication Date
2015-03-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract EN
This paper is devoted to introduce the notions of crossed modules of bigroups and bicrossed modules of bigroups as a suitable generalization of the notions of crossed modules of groups and bicrossed modules of groups, respectively.
This is done by embedding the categories of crossed modules of groups and bicrossed modules of groups in the category of crossed modules of bigroups and bicrossed modules of bigroups, respectively, (via isomorphism of categories).
The notion of extended group and extended group homomorphism had also been introduced in the beginning of this paper.
Finally, two adjoint pair of functors had been given between the category of bicrossed modules of bigroups and the category of bigroups.
American Psychological Association (APA)
Kamil, Mubarak Muhammad. 2015. Crossed modules of bigroups and bicrossed modules of bigroups. University of Thi-Qar Journal،Vol. 10, no. 1, pp.17-27.
https://search.emarefa.net/detail/BIM-657075
Modern Language Association (MLA)
Kamil, Mubarak Muhammad. Crossed modules of bigroups and bicrossed modules of bigroups. University of Thi-Qar Journal Vol. 10, no. 1 (Mar. 2015), pp.17-27.
https://search.emarefa.net/detail/BIM-657075
American Medical Association (AMA)
Kamil, Mubarak Muhammad. Crossed modules of bigroups and bicrossed modules of bigroups. University of Thi-Qar Journal. 2015. Vol. 10, no. 1, pp.17-27.
https://search.emarefa.net/detail/BIM-657075
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 26-27
Record ID
BIM-657075