Associated Primes and Arithmetic Degrees
Associated Primes and Arithmetic Degrees
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关联素数和算术度数
DOI：
10.1006/jabr.1996.6952
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发表时间：
1997
影响因子：
0.9
通讯作者：
Kohji Yanagawa
中科院分区：
文献类型：
--
作者：
Chikashi Miyazaki;W. Vogel;Kohji Yanagawa
本文的目的是研究最近在Žw x w x中被研究的多项式理想和模的算术度理论。一些文献见，例如，1，9，11，12，但也见7。算术度的概念涉及包括嵌入分量在内的所有主要分支的长度重数的新概念，并扩展了经典的度理论。此外，通过使用计算机WX软件，例如Macaulay2，可以计算算术次数，而不计算相关的素数，参见，Ž。例如，2.3，而初级分解本身对于Žw X计算机系统来说相对困难。4.
The purpose of this paper is to study the arithmetic degree theory of polynomial ideals and modules, which has been investigated recently in Ž w x w x. several papers see, eg, 1, 9, 11, 12, but see also 7. The notion of arithmetic degree involves the new concept of length multiplicity which concerns all primary components including embedded components, and enlarges the classical degree theory. Moreover, the arithmetic degree can be computed by using computer wx software, say Macaulay 2, without computing the associated primes, see, Ž. eg, 2.3, while primary decomposition itself is relatively difficult for Ž w x. computer systems cf. 4.