Integer-valued polynomials on algebras

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Integer-valued Polynomials on Algebras

Let D be a domain with quotient field K and A a D-algebra. A polynomial with coefficients in K that maps every element of A to an element of A is called integer-valued on A. For commutative A we also consider integer-valued polynomials in several variables. For an arbitrary domain D and I an arbitrary ideal of D we show I -adic continuity of integer-valued polynomials on A. For Noetherian one-d...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2013

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2012.10.003