(Co)Limit calculations in the category of 2-crossed R-modules

Creative Commons License

Yilmaz E.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.7, ss.2902-2915, 2022 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3308
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2902-2915
  • Anahtar Kelimeler: 2-crossed module, coproduct, pullback, ALGEBRAIC MODELS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we obtain how to construct finite limits and colimits for 2-crossed R-Modules over groups denoted with X(2)Mod/R. We give direct construction of the pullback object to show that this category has finite products over the terminal object. We also show finite coproducts and (co)completeness.