Powers of t-spread principal Borel ideals

被引：14

作者：

Andrei, Claudia ^{[1
]}

Ene, Viviana ^{[2
]}

Lajmiri, Bahareh ^{[3
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, Str Acad 14, Bucharest 010014, Romania

[2] Ovidius Univ, Fac Math & Comp Sci, Bd Mamaia 124, Constanta 900527, Romania

[3] Amirkabir Univ Technol, Dept Math & Comp Sci, 424 Hafez Ave, Tehran, Iran

来源：

ARCHIV DER MATHEMATIK | 2019年 / 112卷 / 06期

关键词：

t-Spread principal Borel ideals; Persistence property; Limit depth; Sequentially Cohen-Macaulay ideals;

D O I：

10.1007/s00013-018-01294-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that t-spread principal Borel ideals are sequentially Cohen-Macaulay and study their powers. We show that these ideals possess the strong persistence property and compute their limit depth.

引用

页码：587 / 597

页数：11

共 8 条

[1]

Ene V., 2012, GROBNER BASES COMMUT

[2]

Ene V., ARXIV180502368

[3] POWERS OF LEXSEGMENT IDEALS WITH LINEAR RESOLUTION [J].

Ene, Viviana ;

Olteanu, Anda .

ILLINOIS JOURNAL OF MATHEMATICS, 2012, 56 (02) :533-549

[4]

Herzog J, 2005, OSAKA J MATH, V42, P807

[5]

Herzog J, 2010, MONOMIAL IDEALS

[6] Persistence and stability properties of powers of ideals [J].

Herzog, Juergen ;

Qureshi, Ayesha Asloob .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (03) :530-542

[7] RINGS OF INVARIANTS OF TORI, COHEN-MACAULAY RINGS GENERATED BY MONOMIALS, AND POLYTOPES [J].

HOCHSTER, M .

ANNALS OF MATHEMATICS, 1972, 96 (02) :318-&

[8]

Sturmfels B., 1995, University Lecture Series, V8

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