Fibrations of 2-crossed modules

EGE ARSLAN U., AKÇA İ. İ., Irmak G. O., Avcioglu O.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, sa.16, ss.5293-5304, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 16
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/mma.5321
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5293-5304
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this study, we mainly show that the functor from the category X(2)Mod of 2-crossed modules of groups to the category Groups of groups assigning to each 2-crossed module {L, M, P, partial derivative(2), partial derivative(1)} the group P, and to each 2-crossed module morphism (f(2), f(1), f(0)), the group homomorphism f(0) is a fibration. In addition, we study some related properties.