Universal concrete categories and functors
Universal enveloping algebras of Leibniz algebras and (co)homology.
Universal expansion of semigroup varieties by regular involution.
Universal objects in quasiconstructs
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...
Universal properties and derived Kan extensions. (Propriétés universelles et extensions de Kan dérivées.)
Universal properties of Span.
Universal semigroups.
Universality of separoids
A separoid is a symmetric relation defined on disjoint pairs of subsets of a given set such that it is closed as a filter in the canonical partial order induced by the inclusion (i.e., and ). We introduce the notion of homomorphism as a map which preserve the so-called “minimal Radon partitions” and show that separoids, endowed with these maps, admits an embedding from the category of all finite graphs. This proves that separoids constitute a countable universal partial order. Furthermore,...
Universelle Koeffizientenfolgen für den lim-Funktor und Anwendungen.
Unstable K-Theories of the Algebraic Closure of a Finite Field.
Upper Central Series in a Category.
Using the generic interval