The Krull-Schmidt theorem for categories of finitely generated modules over valuation domains.
The Moore-Penrose inverse of a partitioned morphism in an additive category
The notion of closedness in topological categories
In [1], various generalizations of the separation properties, the notion of closed and strongly closed points and subobjects of an object in an arbitrary topological category are given. In this paper, the relationship between various generalized separation properties as well as relationship between our separation properties and the known ones ([4], [5], [7], [9], [10], [14], [16]) are determined. Furthermore, the relationships between the notion of closedness and strongly closedness are investigated...
The Roquette category of finite -groups
Let be a prime number. This paper introduces the Roquette category of finite -groups, which is an additive tensor category containing all finite -groups among its objects. In , every finite -group admits a canonical direct summand , called the edge of . Moreover splits uniquely as a direct sum of edges of Roquette -groups, and the tensor structure of can be described in terms of such edges. The main motivation for considering this category is that the additive functors from to...
The tensor category of linear maps and Leibniz algebras.
The Zariski category of graded commutative rings
There is no cogenerator of totally convex spaces
Three technical tools in uniform spaces
Topological balls
Topological categories containing any category of algebras
Topological properties of the real numbers object in a topos
Topological totally convex spaces, II
Towards a sketch based model of self-interpreters
Two closed categories of filters
Une généralisation des ensembles énumérés
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,...
Various categorical approaches to statistical spaces [Book]
Weak Homotopy Category of a Category with a Cotriple.
What is a double central extension ? (the question was asked by Ronald Brown)
What to embed into a Cartesian closed topological category (Preliminary communication)