Integer-Valued Polynomials PDF
by Paul-Jean Cahen
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Description
Integer-valued polynomials on the ring of integers have been known for a long time and have been used in calculus.
Polya and Ostrowski generalized this notion to rings of integers of number fields.
More generally still, one may consider a domain $D$ and the polynomials (with coefficients in its quotient field) mapping $D$ into itself.
They form a $D$-algebra-that is, a $D$-module with a ring structure.
Appearing in a very natural fashion, this ring possesses quite a rich structure, and the very numerous questions it raises allow a thorough exploration of commutative algebra.
Here is the first book devoted entirely to this topic.
Features: Thorough reviews of many published works. Self-contained text with complete proofs. Numerous exercises.
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- Format:PDF
- Pages:322 pages
- Publisher:American Mathematical Society
- Publication Date:12/03/1996
- Category:
- ISBN:9781470412791
Information
-
Download Now
- Format:PDF
- Pages:322 pages
- Publisher:American Mathematical Society
- Publication Date:12/03/1996
- Category:
- ISBN:9781470412791