Koszul binomial edge ideals of pairs of graphs

JOURNAL OF ALGEBRA

卷:515

Article

Baskoroputro, Herolistra¹  Ene, Viviana²  Ion, Cristian³ 

[1] GC Univ Lahore, Abdus Salam Sch Math Sci, 68-B New Muslim Town, Lahore 54600, Pakistan

[2] Ovidius Univ, Fac Math & Comp Sci, Bd Mamaia 124, Constanta 900527, Romania

[3] Univ Dunarea Jos Galati, Galati, Romania

关键词: Koszul algebra;    Grobner basis;    Binomial edge ideal;    Linear quotients;   

DOI  :  10.1016/j.jalgebra.2018.08.029

来源: Elsevier

【 摘 要 】

We study the Koszul property of a standard graded K-algebra R defined by the binomial edge ideal of a pair of graphs (G(1), G(2)). We show that the following statements are equivalent: (i) R is Koszul; (ii) the defining ideal JG(1), G(2), of R has a quadratic Grobner basis; (iii) the graded maximal ideal of R has linear quotients with respect to a suitable order of its generators. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free