3 papers
math.AC2026
Algebras with straightening laws on join- or meet-semidistributive lattices
Koji Matsushita, Sora Miyashita, Koichiro Tani
We study algebras with straightening laws on join- or meet-semidistributive lattices. We show that for a join-semidistributive (resp. meet-semidistributive) lattice, meet-distribut…
math.AC2024
Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings
Yuta Hatasa, Nobukazu Kowaki, Koji Matsushita
In this paper, we study edge rings and their -polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the -polynomials…
math.AC2023
Conditions of multiplicity and applications for almost Gorenstein graded rings
Koji Matsushita, Sora Miyashita
In this paper, we prove that if Cohen-Macaulay local/graded rings , and satisfy certain conditions regarding multiplicity and Cohen-Macaulay type, then almost Gorens…