On binary relations without non-identical endomorphisms

Details On binary relations without non-identical endomorphisms On binary relations without non-identical endomorphisms

2000-03-28

arxiv.org/abs/math/0003181v3

Aequationes Mathematicae 63 (2002), pp. 152-157

Mathematics

Logic

3rd version, minor changes, PostScript, submitted to Aequationes Math

Scientific paper

10.1007/s00010-002-8013-9

On every set A there is a rigid binary relation, i.e. such a relation R that
there is no homomorphism (A,R)->(A,R) except the identity (Vopenka et al.
[1965]). We state two conjectures which strengthen this theorem. We prove these
conjectures for some cardinalities.

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