Split extension classifiers in the category of precrossed modules of commutative algebras

Boyaci Y., KUZPINARI T. S., Uslu E. O.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, sa.5, ss.683-697, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1503-78
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.683-697
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We construct an actor of a precat(1)-algebra and then by using the natural equivalence between the categories of precat(1)-algebras and that of precrossed modules, we construct the split extension classifier of the corresponding precrossed module, which gives rise to the representability of actions in the category of precrossed modules of commutative algebras under certain conditions.