Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Free resolution of powers of monomial ideals and Golod rings
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2017 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 120, no 1, p. 59-67Article in journal (Refereed) Published
Abstract [en]

Let S = Kdbl[x1,⋯, xn] be the polynomial ring over a field Kdbl. In this paper we present a criterion for componentwise linearity of powers of monomial ideals. In particular, we prove that if a squarefree monomial ideal I contains no variable and some power of I is componentwise linear, then I satisfies the gcd condition. For a square-free monomial ideal I which contains no variable, we show that S/I is a Golod ring provided that for some integer s ≥ 1, the ideal Is has linear quotients with respect to a monomial order.

Place, publisher, year, edition, pages
Mathematica Scandinavica , 2017. Vol. 120, no 1, p. 59-67
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-207412DOI: 10.7146/math.scand.a-25504ISI: 000399628700004Scopus ID: 2-s2.0-85016067626OAI: oai:DiVA.org:kth-207412DiVA, id: diva2:1103350
Note

QC 20170530

Available from: 2017-05-30 Created: 2017-05-30 Last updated: 2017-06-02Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Altafi, Nasrin

Search in DiVA

By author/editor
Altafi, Nasrin
By organisation
Mathematics (Dept.)
In the same journal
Mathematica Scandinavica
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 22 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf