## Integer-valued polynomials by Paul-Jean Cahen

By Paul-Jean Cahen

Integer-valued polynomials at the ring of integers were identified for a very long time and feature been utilized in calculus. Polya and Ostrowski generalized this proposal to jewelry of integers of quantity fields. extra in most cases nonetheless, one could think of a website $D$ and the polynomials (with coefficients in its quotient box) mapping $D$ into itself. They shape a $D$-algebra--that is, a $D$-module with a hoop constitution. showing in a really common type, this ring possesses really a wealthy constitution, and the very quite a few questions it increases permit a radical exploration of commutative algebra. here's the 1st ebook dedicated completely to this subject. positive aspects: Thorough studies of many released works. Self-contained textual content with whole proofs. a variety of routines