Universal coextensions within a variety.
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P. Goralcik, V. Koubek (1997)
Semigroup forum
Věra Trnková (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
V. Koubek (1993)
Semigroup forum
R. Rother (2000)
Commentationes Mathematicae Universitatis Carolinae
The general theory of J’onsson-classes is generalized to strongly smooth quasiconstructs in such a way that it also allows the construction of universal categories. One example of the theory is the existence of a concrete universal category over every base category. Properties are given which are (under certain conditions) equivalent to the existence of homogeneous universal objects. Thereby, we disprove the existence of a homogeneous C-universal category. The notion of homogeneity is strengthened...
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