On binary relations without non-identical endomorphisms

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

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Logic, Combinatorics, 03E05 (Primary), 08A35 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/98623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0003181
 http://arxiv.org/abs/math/0003181
 Aequationes Mathematicae 63 (2002), pp. 152-157
 doi:10.1007/s00010-002-8013-9

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arXiv