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

Creative Commons License

Yilmaz E.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.7, pp.2902-2915, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3308
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2902-2915
  • Keywords: 2-crossed module, coproduct, pullback, ALGEBRAIC MODELS
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.