On the Equality of Symbolic and Ordinary Powers of Binomial Edge Ideals

被引：1

作者：

Jahani, I. ^{[1
]}

Bayati, Sh. ^{[1
]}

Rahmati, F. ^{[1
]}

机构：

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

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2023年 / 54卷 / 01期

关键词：

Binomial edge ideal; Caterpillar tree; Generalized caterpillar graph; Symbolic power; Weakly closed; GRAPHS;

D O I：

10.1007/s00574-022-00323-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate whether the symbolic and ordinary powers of a binomial edge ideal J(G )are equal. We show that the equality J(G)(t)= J(G)((t)) holds for every t >= 1 when | Ass(J(G))| = 2. Moreover, if G is a caterpillar tree, then one has the same equality. Finally, we characterize the generalized caterpillar graphs which the equality of symbolic and ordinary powers of J(G) occurs.

引用

页数：13

共 50 条

[1] On the Equality of Symbolic and Ordinary Powers of Binomial Edge Ideals
I. Jahani
Sh. Bayati
F. Rahmati
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2023, 54
[2] Comparison of symbolic and ordinary powers of parity binomial edge ideals
Taghipour, Nadia
Bayati, Shamila
Rahmati, Farhad
[J]. MONATSHEFTE FUR MATHEMATIK, 2024, 203 (03): : 695 - 710
[3] Comparison of symbolic and ordinary powers of parity binomial edge ideals
Nadia Taghipour
Shamila Bayati
Farhad Rahmati
[J]. Monatshefte für Mathematik, 2024, 203 : 695 - 710
[4] ON THE EQUALITY OF ORDINARY AND SYMBOLIC POWERS OF IDEALS
Hosry, Aline
Kim, Youngsu
Validashti, Javid
[J]. JOURNAL OF COMMUTATIVE ALGEBRA, 2012, 4 (02) : 281 - 292
[5] Equality of ordinary and symbolic powers of edge ideals of weighted oriented graphs
Banerjee, Arindam
Chakraborty, Bidwan
Das, Kanoy Kumar
Mandal, Mousumi
Selvaraja, S.
[J]. COMMUNICATIONS IN ALGEBRA, 2023, 51 (04) : 1575 - 1580
[6] Stability of associated primes and equality of ordinary and symbolic powers of ideals
Morey, S
[J]. COMMUNICATIONS IN ALGEBRA, 1999, 27 (07) : 3221 - 3231
[7] Equality of Ordinary and Symbolic Powers of Some Classes of Monomial Ideals
Kanoy Kumar Das
[J]. Graphs and Combinatorics, 2024, 40
[8] Equality of Ordinary and Symbolic Powers of Some Classes of Monomial Ideals
Das, Kanoy Kumar
[J]. GRAPHS AND COMBINATORICS, 2024, 40 (01)
[9] Equality of ordinary and symbolic powers of Stanley-Reisner ideals
Ngo Viet Trung
Tran Manh Tuan
[J]. JOURNAL OF ALGEBRA, 2011, 328 (01) : 77 - 93
[10] A CLASS OF IMPERFECT PRIME IDEALS HAVING THE EQUALITY OF ORDINARY AND SYMBOLIC POWERS
TRUNG, NV
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1981, 21 (02): : 239 - 250

← 1 2 3 4 5 →