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On relations as partial functions. (English) Zbl 0677.08002

Considering relations (in sets) as partial projections, it is shown that all usual operations of relations can be expressed by the operations of dht-symmetric categories (introduced by H.-J. Hoehnke), enriched with few additional properties, explicated in Part II of the paper.
Reviewer: Vl.Topencharov

MSC:

08A02 Relational systems, laws of composition
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
03E20 Other classical set theory (including functions, relations, and set algebra)