LIMITS IN MODIFIED CATEGORIES OF INTEREST

Emir K., Cetin S.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.43, sa.7, ss.2617-2634, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 7
  • Basım Tarihi: 2017
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.2617-2634
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We prove completeness of the category of crossed modules in a modified category of interest. We define pullback crossed modules and pullback cat(1)-objects that are both obtained by pullback diagrams with extra structures on certain arrows. These constructions unify many corresponding results for the cases of groups, commutative algebras and can also be adapted to various algebraic structures.