An embedding theorem for the category of crossed P-modules

EGE ARSLAN U., Onarli G.

GEORGIAN MATHEMATICAL JOURNAL, cilt.22, sa.3, ss.361-371, 2015 (SCI-Expanded) identifier identifier

  • 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.