Kazunori Matsuda

most citedNonincreasing depth functions of monomial ideals

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

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 $f : Z_{\geq 0} ∖ {0} \to Z_{\geq 0}$ such that (i) $f (k) - f (k + 1) \leq 1$ for all $k \geq 1$ and (ii) if $a = f (1)$ an…