Comparison of symbolic and ordinary powers of parity binomial edge ideals

被引：0

作者：

Taghipour, Nadia ^{[1
]}

Bayati, Shamila ^{[1
]}

Rahmati, Farhad ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Dept Math & Comp Sci, Tehran, Iran

来源：

MONATSHEFTE FUR MATHEMATIK | 2024年 / 203卷 / 03期

关键词：

Clique number; Net-free graph; Parity binomial edge ideal; Symbolic power; MONOMIAL IDEALS; ALGEBRAS; EQUALITY; REPRESENTATIONS; STABILITY; GRAPHS;

D O I：

10.1007/s00605-023-01912-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate when symbolic and ordinary powers of the parity binomial edge ideal of a graph fail to be equal. It turns out that if I-G is the parity binomial edge ideal of a graph G, then in each of the following cases the symbolic power I-G((t)) and the ordinary power I-G(t) are not equal for some t: (i) the clique number of G is greater than 3; (ii) G has a net; or (iii) G has a PT as an induced subgraph.

引用

页码：695 / 710

页数：16

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