ENGLISH

Integer-Valued Polynomials

By Jean-Luc Chabert , Paul-Jean Cahen

Book information

Publisher
American Mathematical Society
Year
1997
ISBN
0821803883, 9780821803882, 8119749979, 6019882772, 5019882933, 8019922172, 1519648138, 6919471531
Language
english
Format
DJVU
Filesize
2 MB (2599788 bytes)
Series
Mathematical Surveys and Monographs 48
Pages
345\345
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

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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