Integer-Valued Polynomial Rings,t-Closure, and Associated Primes
نویسندگان
چکیده
منابع مشابه
Iterations of Integer Polynomial Maps Modulo Primes
In this elementary note we discuss some questions related to the behavior of iterations of polynomial maps with integer coefficients modulo primes. In particular, we introduce three examples of such maps that have interesting dynamical properties. Several open questions are stated and discussed.
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Let D be a Krull domain and Int(D) the ring of integer-valued polynomials on D. For any f ∈ Int(D), we explicitly construct a divisor homomorphism from [[f ]], the divisor-closed submonoid of Int(D) generated by f , to a finite sum of copies of (N0,+). This implies that [[f ]] is a Krull monoid. For V a discrete valuation domain, we give explicit divisor theories of various submonoids of Int(V ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2011
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2010.519366