liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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
On the degrees of minimal generators of homogeneous ideals in the exterior algebra
Moreno-Socías, G., Laboratoire GAGE, École Polytechnique, F-91128 Palaiseau Cedex, France.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2001 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 29, no 11, 5155-5170 p.Article in journal (Refereed) Published
Abstract [en]

We study how homogeneous ideals in the exterior algebra ? V over a finite-dimensional vector space V are minimally generated. In particular, we solve the following problems: Starting with an element pv of degree v, what is the maximum length l of a sequence pv, . . . , pv+l-l, with degpi = i, and such that pi is not in the ideal generated by pl, . . . , pi-l? What is the maximal possible number of minimal generators of degree d of a homogeneous ideal which does not contain all elements of degree d + 1? Our main tool is the Kruskal-Katona theorem.

Place, publisher, year, edition, pages
2001. Vol. 29, no 11, 5155-5170 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47218DOI: 10.1081/AGB-100106808OAI: oai:DiVA.org:liu-47218DiVA: diva2:268114
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Snellman, Jan

Search in DiVA

By author/editor
Snellman, Jan
By organisation
The Institute of TechnologyApplied Mathematics
In the same journal
Communications in Algebra
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 25 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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