Split extension classifiers in the category of precrossed modules of commutative algebras
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.
Anahtar Kelimeler:
Precrossed module, action, split extension classifier, actor
Split extension classifiers in the category of precrossed modules of commutative algebras
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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Quadratic recursive towers of function fields over F2
Seher TUTDERE, Henning STICHTENOTH
Hilbert series of the finite dimensional generalized Hecke algebras
Super d-anti-magic labeling of subdivided kC5
Classification of metallic shaped hypersurfaces in real space forms
Cihan ÖZGÜR, Nihal ÖZGÜR YILMAZ
Fiber product preserving bundle functors on fibered-fibered manifolds
Split extension classifiers in the category of precrossed modules of commutative algebras
Yaşar BOYACI, Tufan Sait KUZPINARI, Enver Önder USLU
Generalized weakly central reduced rings
On isophote curves and their characterizations
Sharp lower bounds for the Zagreb indices of unicyclic graphs