A ring with arithmetical congruence lattice not preserved by any Pixley function
نویسندگان
چکیده
منابع مشابه
Arithmetical Congruence Preservation: From Finite to Infinite
Various problems on integers lead to the class of functions defined on a ring of numbers (or a subset of such a rings) METTRE RING AU SINGULIER and verifying a − b divides f(a) − f(b) for all a, b. We say that such functions are “congruence preserving”. In previous works, we characterized these classes of functions for the cases N → Z, Z→ Z and Z/nZ→ Z/mZ in terms of sums series of rational pol...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1981-0603594-4