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Algebraic formulae for compositions of functions in rings

✍ Scribed by I. Kulikov

Publisher: Springer
Year: 1994
Tongue: English
Weight: 370 KB
Volume: 34
Category: Article
ISSN: 0363-1672
DOI: 10.1007/bf02336535

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📜 SIMILAR VOLUMES

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## Introduction. That every integrally closed subring of the field of algebraic numbers is a ring of quotients of its subring of algebraic integers is a remark of 131. The purpose of the present note is to prove this assertion without the hypothesis of integral closure (Theorem A). The proof rests

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Let k be a field of characteristic not two, let f x , x gk x , x be an h 0 1 0 1 irreducible homogeneous polynomial and denote the ring of elements of degree w x w x zero in the homogeneous localization k x , x by k x , x . For deg f s 3 it 0 1 f 0 1 Žf . h h h w x is proved that the composition alg