The stable set of associated prime ideals of a polymatroidal ideal

Jürgen Herzog; Asia Rauf; Marius Vladoiu

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The stable set of associated prime ideals of a polymatroidal ideal

机译：多类理想的相关联的理想理想的稳定集合

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摘要

The associated prime ideals of powers of polymatroidal ideals are studied, including the stable set of associated prime ideals of this class of ideals. It is shown that polymatroidal ideals have the persistence property and for transversal polymatroids and polymatroidal ideals of Veronese type the index of stability and the stable set of associated ideals is determined explicitly.

机译：研究了多拟理想的幂的相关主理想，包括这类理想的相关主理想的稳定集合。结果表明，多类拟理想具有持久性，对于Veronese型横向多类拟和多类理想，明确地确定了稳定性指数和相关理想的稳定集。

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《Journal of algebraic combinatorics》 |2013年第2期|共24页
作者
Jürgen Herzog; Asia Rauf; Marius Vladoiu;
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正文语种 eng
中图分类组合数学（组合学）;
关键词
Associated prime ideals; Polymatroidal ideals; Analytic spread;

机译：关联素理想;多拟理想;解析传播;

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专利

1. The stable set of associated prime ideals of a polymatroidal ideal [J] . Jürgen Herzog, Asia Rauf, Marius Vladoiu Journal of algebraic combinatorics . 2013,第2期

机译：多类理想的相关联的理想理想的稳定集合
2. On the stable set of associated prime ideals of a monomial ideal [J] . Bayati S., Herzog J., Rinaldo G. Archiv der Mathematik . 2012,第3期

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3. On the stable set of associated prime ideals of a monomial ideal [J] . Shamila Bayati, Jürgen Herzog, Giancarlo Rinaldo Archiv der Mathematik . 2012,第3期

机译：关于单项式理想的相关联的主要理想的稳定集合
4. On the Ideal Shortest Vector Problem over Random Rational Primes [C] . Yanbin Pan, Jun Xu, Nick Wadleigh, Annual international conference on the theory and applications of cryptographic techniques . 2021

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5. ON Z-IDEALS AND PRIME IDEALS. [D] . MASON, GORDON ROBERT. 1971

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6. Ideal Cardiovascular Health and Incident Cardiovascular Disease: Heterogeneity Across Event Subtypes and Mediating Effect of Blood Biomarkers: The PRIME Study [O] . 2017

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7. THE STABLE SET OF ASSOCIATED PRIME IDEALS OF A POLYMATROIDAL IDEAL [O] . Jürgen Herzog, Asia Rauf, Marius Vladoiu 2011

机译：一个多元理想的相关主要理想的稳定集合

The stable set of associated prime ideals of a polymatroidal ideal

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