Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields
نویسندگان
چکیده
منابع مشابه
A construction of integer-valued polynomials with prescribed sets of lengths of factorizations
For an arbitrary finite set S of natural numbers greater 1, we construct f ∈ Int(Z)= {g∈Q[x] | g(Z)⊆Z} such that S is the set of lengths of f , i.e., the set of all n such that f has a factorization as a product of n irreducibles in Int(Z). More generally, we can realize any finite multi-set of natural numbers greater 1 as the multi-set of lengths of the essentially different factorizations of ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2019
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2019.02.040