Facebook Instagram Twitter RSS Feed PodBean Back to top on side

On the lattice of additive hereditary properties of object systems

In: Tatra Mountains Mathematical Publications, vol. 30, no. 1
Peter Mihók
Detaily:
Rok, strany: 2005, 155 - 161
O článku:
The notion of an object-system over a concrete category ${C}$ is introduced as a common generalization of graphs, hypergraphs, digraphs and other mathematical structures. Let ${C}$ be a concrete category. A simple finite object-system over ${C}$ is an ordered pair $S = (V, E)$, where $V$ is a finite set and $E = {A1,A2,…, Am}$ is a finite set of the objects of ${C}$, such that the ground-set $V(Ai) subseteq V$ of each object $Ai in E$ is a finite set. Analogously as for graphs, we define the additive hereditary property of simple object-systems as any class of systems closed under disjoint unions, subsystems and isomorphisms of systems, respectively. The structure of the lattice $Bbb La({C})$ of all additive hereditary properties of object-systems is investigated.
Ako citovať:
ISO 690:
Mihók, P. 2005. On the lattice of additive hereditary properties of object systems. In Tatra Mountains Mathematical Publications, vol. 30, no.1, pp. 155-161. 1210-3195.

APA:
Mihók, P. (2005). On the lattice of additive hereditary properties of object systems. Tatra Mountains Mathematical Publications, 30(1), 155-161. 1210-3195.