The Complexity of Frobenius Powers of Ideals
The Complexity of Frobenius Powers of Ideals
复制标题
弗罗贝尼乌斯理想力的复杂性
DOI：
10.1006/jabr.1997.7246
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发表时间：
1998
影响因子：
0.9
通讯作者：
Mordechai Katzman
中科院分区：
文献类型：
--
作者：
Mordechai Katzman
本文的目的是研究素数特征 p 的仿射环中理想的 Frobenius 幂。如果R是这样的环且I； R 是一个理想，I 的 eth Frobenius 幂记为 I w pe x，是 I 中元素的所有 peth 幂生成的 R 的理想。与普通理想幂不同，Frobenius 幂表现出相当
The aim of this paper is to investigate the Frobenius powers of ideals in affine rings of prime characteristic p. If R is such a ring and I; R is an ideal, the eth Frobenius power of I, which shall be denoted as I w pe x, is the ideal of R generated by all peth powers of elements in I. Unlike ordinary powers of ideals, Frobenius powers exhibit a rather