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Cardinal and ordinal arithmetics of $n$ -ary relational systems and $n$ -ary ordered sets

Jiří Karásek (1998)

Mathematica Bohemica

The aim of this paper is to define and study cardinal (direct) and ordinal operations of addition, multiplication, and exponentiation for $n$ -ary relational systems. $n$ -ary ordered sets are defined as special $n$ -ary relational systems by means of properties that seem to suitably generalize reflexivity, antisymmetry, and transitivity from the case of $n = 2$ or 3. The class of $n$ -ary ordered sets is then closed under the cardinal and ordinal operations.

Convex isomorphisms of directed multilattices

Ján Jakubík, Mária Csontóová (1993)

Mathematica Bohemica

By applying the solution of the internal direct product decomposition we investigate the relations between convex isomorphisms and direct product decompositions of directed multilattices.

Counting unlabelled topologies and transitive relations.

Brinkmann, Gunnar, McKay, Brendan D. (2005)

Journal of Integer Sequences [electronic only]

Displaying 1 – 3 of 3

Cardinal and ordinal arithmetics of n -ary relational systems and n -ary ordered sets

Convex isomorphisms of directed multilattices

Counting unlabelled topologies and transitive relations.

Currently displaying 1 – 3 of 3

Cardinal and ordinal arithmetics of $n$ -ary relational systems and $n$ -ary ordered sets