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

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

TURKISH JOURNAL OF MATHEMATICS, vol.39, no.5, pp.683-697, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 5
  • Publication Date: 2015
  • Doi Number: 10.3906/mat-1503-78
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.683-697
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.