Turkish Journal of Mathematics
DOI
10.3906/mat-1503-78
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.
Keywords
Precrossed module, action, split extension classifier, actor
First Page
683
Last Page
697
Recommended Citation
BOYACI, YAŞAR; KUZPINARI, TUFAN SAİT; and USLU, ENVER ÖNDER
(2015)
"Split extension classifiers in the category of precrossed modules of commutative algebras,"
Turkish Journal of Mathematics: Vol. 39:
No.
5, Article 7.
https://doi.org/10.3906/mat-1503-78
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss5/7
