An embedding theorem for the category of crossed P-modules
GEORGIAN MATHEMATICAL JOURNAL, cilt.22, sa.3, ss.361-371, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 3
- Basım Tarihi: 2015
- Doi Numarası: 10.1515/gmj-2015-0028
- Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.361-371
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this paper, we show that the category of crossed modules over a fixed group is an exact category. We give a complete proof of the embedding theorem of XMod/P into a set-valued functor category. As a consequence of this theorem, we show that the subcategory of finitely generated free crossed P-modules is dense in the category of crossed P-modules and each crossed P-module is represented as a coend.