95
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Ideals Generated by Diagonal 2-Minors

&
Pages 3058-3066 | Received 26 Jan 2012, Published online: 14 Jun 2013
 

Abstract

With a simple graph G on [n], we associate a binomial ideal PG generated by diagonal minors of an n × n matrix X = (xij) of variables. We show that for any graph G, PG is a prime complete intersection ideal and determine the divisor class group of K[X]/PG. By using these ideals, one may find a normal domain with free divisor class group of any given rank.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

The first author was supported by the grant UEFISCDI, PN-II-ID-PCE- 2011-3-1023.

Notes

Communicated by R. Wiegand.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.