Fibrations of 2-crossed modules

EGE ARSLAN U., AKÇA İ. İ., Onarlı Irmak G., AVCIOĞLU O.

Mathematical Methods in the Applied Sciences, cilt.42, sa.16, ss.5293-5304, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • 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
  • Anahtar Kelimeler: 2-crossed module, crossed module, fibration, pullback
  • Uşak Üniversitesi Adresli: Evet

Özet

In this study, we mainly show that the functor from the category X2Mod of 2-crossed modules of groups to the category Groups of groups assigning to each 2-crossed module {L,M,P,𝜕2,𝜕1} the group P, and to each 2-crossed module morphism (f2,f1,f0) the group homomorphism f0 is a fibration. In addition, we study some related properties.