EQUIVARIANT HILBERT SERIES OF MONOMIAL ORBITS

被引：7

作者：

Gunturkun, Sema ^{[1
]}

Nagel, Uwe ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, 530 Church St,East Hall, Ann Arbor, MI 48109 USA

[2] Univ Kentucky, Dept Math, 715 Patterson Off Tower, Lexington, KY 40506 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 06期

关键词：

Hilbert function; polynomial ring; monoid; invariant ideal; Krull dimension; degree; multiplicity; POLYNOMIAL-RINGS;

D O I：

10.1090/proc/13943

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The equivariant Hilbert series of an ideal generated by an orbit of a monomial under the action of the monoid Inc(N) of strictly increasing functions is determined. This is used to find the dimension and degree of such an ideal. The result also suggests that the description of the denominator of an equivariant Hilbert series of an arbitrary Inc(N)-invariant ideal as given by Nagel and Romer is rather efficient.

引用

页码：2381 / 2393

页数：13

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