MATHEMATICA BOHEMICA, Vol. 120, No. 3, pp. 283-291, 1995

# Projections of relations

## Jiri Karasek

Ustav matematiky FS VUT, Technicka 2, 616 69 Brno, Czech Republic

Abstract: A projection of a relation is defined as a relation of reduced arity. The paper deals with projections of relations in coherence with their reflexivity, symmetry, completeness, regularity, cyclicity and other properties. Relationships between projections of hulls and hulls of projections are also studied.

Keywords: relation, $n$-decomposition, diagonal, $(\Cal K,\varphi)$-modification, $(p)$-hull, $(q,X)$-projection

Classification (MSC 1991): 04A05, 08A02

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