Applications of mapping cones over Clements-Lindström rings

Vesselin Gasharov, Satoshi Murai, Irena Peeva

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)34-55
Number of pages22
JournalJournal of Algebra
Volume325
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1
Externally publishedYes

Fingerprint

Cone
Minimal Free Resolution
Ring
Square free
Persistence
Theorem

Keywords

  • 13D02
  • Betti numbers
  • Free resolutions
  • Hilbert functions

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Applications of mapping cones over Clements-Lindström rings. / Gasharov, Vesselin; Murai, Satoshi; Peeva, Irena.

In: Journal of Algebra, Vol. 325, No. 1, 01.01.2011, p. 34-55.

Research output: Contribution to journalArticle

Gasharov, Vesselin ; Murai, Satoshi ; Peeva, Irena. / Applications of mapping cones over Clements-Lindström rings. In: Journal of Algebra. 2011 ; Vol. 325, No. 1. pp. 34-55.
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