- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Crossed modules of Bigroups and BiCrossed modules of Bigroups | ||
| Journal of Univesity of Thi-Qar | ||
| Article 1, Volume 10, Issue 1, 2015, Pages 1-10 | ||
| Author | ||
| Mubarak M. Kamil | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Crossed modules; Bicrossed modules; Bigroups; Adjoint functors | ||
|
Statistics Article View: 53 PDF Download: 13 |
||