Details:
Title  Ideals generated by diagonal 2minors.  Author(s)  Viviana Ene, Ayesha Asloob Qureshi  Type  Article in Journal  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.  Keywords  Binomial ideals, Divisor class groups, Gröbner bases, Graphs  ISSN  00927872; 15324125/e 
URL 
http://www.tandfonline.com/doi/abs/10.1080/00927872.2012.672603 
Language  English  Journal  Commun. Algebra  Volume  41  Number  8  Pages  30583066  Publisher  Taylor & Francis, Philadelphia, PA  Year  2013  Edition  0  Translation 
No  Refereed 
No 
