14 citations · 82 across the 27 of their papers we have counts for
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math.AC2016
Non-Koszul quadratic Gorenstein toric rings
Kazunori Matsuda
Koszulness of Gorenstein quadratic algebras of small socle degree is studied. In this note, we construct non-Koszul Gorenstein quadratic toric ring such that its socle degree is mo…
math.AC2016★ 1 cited
Nonincreasing depth functions of monomial ideals
Kazunori Matsuda, Tao Suzuki, Akiyoshi Tsuchiya
Given a nonincreasing function such that (i) for all and (ii) if an…
math.AC2016★ 9 cited
Toric rings and ideals of stable set polytopes
Kazunori Matsuda, Hidefumi Ohsugi, Kazuki Shibata
In this paper, we discuss the normality of the toric rings of stable set polytopes, and the set of generators and Gröbner bases of toric ideals of stable set polytopes by using the…