The grade of an ideal or module

The grade of an ideal or module
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理想或模块的等级

DOI:
10.1017/s0305004100031960
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发表时间:
1957
影响因子:
0.8
通讯作者:
D. Rees
D. Rees
中科院分区:
数学2区
文献类型:
--
作者:
D. Rees

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在(6)中,作者引入了Noether环A的理想的一个数字特征,称之为阶。这可以被定义为最小整数k,使得((6)中给出的定义与此不同,但是,如下面将看到的,是等价的)。本文的目的是更详细地研究这一性质。
In (6), the author introduced a numerical character of an ideal of a Noether ring A, called the grade of . This can be defined as the least integer k such that (the definition given in (6) differed from this, but, as will be seen below, is equivalent). The purpose of the present paper is to study this character in more detail.