Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10149783 | Journal of Algebra | 2018 | 16 Pages |
Abstract
We study the Koszul property of a standard graded K-algebra R defined by the binomial edge ideal of a pair of graphs (G1,G2). We show that the following statements are equivalent: (i) R is Koszul; (ii) the defining ideal JG1,G2 of R has a quadratic Gröbner basis; (iii) the graded maximal ideal of R has linear quotients with respect to a suitable order of its generators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Herolistra Baskoroputro, Viviana Ene, Cristian Ion,