2010/03/08 by Ignacio Ojeda, Ojeda, Ignacio
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13F20 #Secondary 13P99 #math.AC #msc:13F20 #msc:13P99
paper · pdf · doi:10.48550/arxiv.1003.1701
13 pages, LaTeX. Example 1.5 added. Introduction improved. References removed Typos corrected
arxiv created 2010/05/07 · arxiv updated 2010/05/10
In this paper, we prove that every binomial ideal in a polynomial ring over an algebraically closed field of characteristic zero admits a canonical primary decomposition into binomial ideals. Moreover, we prove that this special decomposition is obtained from a cellular decomposition which is also defined in a canonical way and does not depend on the field.