Equivalence between the category of Cat¹-complexes and the category of crossed modules of complexes
Joint Authors
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 37, Issue 4C (30 Sep. 2011), pp.450-464, 15 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2011-09-30
Country of Publication
Iraq
No. of Pages
15
Main Subjects
Topics
Abstract AR
قدمنا في هذا المبحث مفهم السلسلية الفصيلية من النمط الأول كتعميم مناسب للزمر الفصيلية من النمط الأول من خلال غمر فصيلة الزمر الفصيلية من النمط الأول داخل فصيلة الهياكل السلسلية الفصيلية من النمط الأول (بواسطة التشاكل التقابلي بين الفصائل).
بينا كذلك تكافؤ فصيلة الموديلات المتصالبة للهياكل السلسلية مع فصيلة الهياكل السلسلية الفصيلية من النمط الأول.
و بينا كذلك أن المقرنين التغايريين المستخدمين في أثبات التكافؤ بين الفصيلتين يمثل زوج مترافق من المقرنات.
Abstract EN
In t his paper, we introduce the notion of cat¹-complexes as a suitable generalization of the cat¹- groups through embedding the category of cat¹- groups in the category of Cat¹-complexes as a subcategory (via isomorphism of categories).
It was shown that the category of Cat¹ complexes is equivalent to the category of crossed modules of complexes as well as the couple of two covariant functors used to show the equivalence between these two categories are represent an adjoint pair of functos.
American Psychological Association (APA)
Mahdi, Rad S.& Fadil, Ihsan A.. 2011. Equivalence between the category of Cat¹-complexes and the category of crossed modules of complexes. Journal of Basrah Researches : Sciences،Vol. 37, no. 4C, pp.450-464.
https://search.emarefa.net/detail/BIM-286356
Modern Language Association (MLA)
Mahdi, Rad S.& Fadil, Ihsan A.. Equivalence between the category of Cat¹-complexes and the category of crossed modules of complexes. Journal of Basrah Researches : Sciences Vol. 37, no. 4C (Sep. 2011), pp.450-464.
https://search.emarefa.net/detail/BIM-286356
American Medical Association (AMA)
Mahdi, Rad S.& Fadil, Ihsan A.. Equivalence between the category of Cat¹-complexes and the category of crossed modules of complexes. Journal of Basrah Researches : Sciences. 2011. Vol. 37, no. 4C, pp.450-464.
https://search.emarefa.net/detail/BIM-286356
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 463-464
Record ID
BIM-286356