Automorphisms of Ideals of Polynomial Rings

被引：0

作者：

Macedo, Tiago ^{[1
,2
]}

de Mello, Thiago Castilho ^{[2
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

[2] Univ Fed Sao Paulo, Dept Sci & Technol, BR-12247014 Sao Jose Dos Campos, SP, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2018年 / 49卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Automorphisms; Commutative Algebra; Ideals; FREE ASSOCIATIVE ALGEBRA;

D O I：

10.1007/s00574-017-0046-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative integral domain with unit, f be a nonconstant monic polynomial in R[t], and be the ideal generated by f. In this paper we study the group of R-algebra automorphisms of the R-algebra without unit . We show that, if f has only one root (possibly with multiplicity), then . We also show that, under certain mild hypothesis, if f has at least two different roots in the algebraic closure of the quotient field of R, then is a cyclic group and its order can be completely determined by analyzing the roots of f.

引用

页码：1 / 15

页数：15

共 13 条

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