Applications of mapping cones over Clements-Lindström rings

Vesselin Gasharov; Satoshi Murai; Irena Peeva

doi:10.1016/j.jalgebra.2010.10.006

Applications of mapping cones over Clements-Lindström rings

Vesselin Gasharov, Satoshi Murai, Irena Peeva^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We prove that Gotzmann's Persistence Theorem holds over every Clements-Lindström ring. We also construct the infinite minimal free resolution of a square-free Borel ideal over such a ring.

Original language	English
Pages (from-to)	34-55
Number of pages	22
Journal	Journal of Algebra
Volume	325
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2010.10.006
Publication status	Published - 2011 Jan 1
Externally published	Yes

Keywords

13D02
Betti numbers
Free resolutions
Hilbert functions

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2010.10.006

Cite this

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title = "Applications of mapping cones over Clements-Lindstr{\"o}m rings",

abstract = "We prove that Gotzmann's Persistence Theorem holds over every Clements-Lindstr{\"o}m ring. We also construct the infinite minimal free resolution of a square-free Borel ideal over such a ring.",

keywords = "13D02, Betti numbers, Free resolutions, Hilbert functions",

author = "Vesselin Gasharov and Satoshi Murai and Irena Peeva",

note = "Funding Information: CaseC:Supposethati∈{e}andγ−αp0(coefficientwise).Wewillshowthatd2({m,e,γ})hasno terms supported by the base {epe \ ei, γ − αp}.",

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doi = "10.1016/j.jalgebra.2010.10.006",

language = "English",

volume = "325",

pages = "34--55",

journal = "Journal of Algebra",

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T1 - Applications of mapping cones over Clements-Lindström rings

AU - Gasharov, Vesselin

AU - Murai, Satoshi

AU - Peeva, Irena

N1 - Funding Information: CaseC:Supposethati∈{e}andγ−αp0(coefficientwise).Wewillshowthatd2({m,e,γ})hasno terms supported by the base {epe \ ei, γ − αp}.

PY - 2011/1/1

Y1 - 2011/1/1

N2 - We prove that Gotzmann's Persistence Theorem holds over every Clements-Lindström ring. We also construct the infinite minimal free resolution of a square-free Borel ideal over such a ring.

AB - We prove that Gotzmann's Persistence Theorem holds over every Clements-Lindström ring. We also construct the infinite minimal free resolution of a square-free Borel ideal over such a ring.

KW - 13D02

KW - Betti numbers

KW - Free resolutions

KW - Hilbert functions

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U2 - 10.1016/j.jalgebra.2010.10.006

DO - 10.1016/j.jalgebra.2010.10.006

M3 - Article

AN - SCOPUS:78549237772

SN - 0021-8693

VL - 325

SP - 34

EP - 55

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Applications of mapping cones over Clements-Lindström rings

Abstract

Keywords

ASJC Scopus subject areas

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