1 citations · 3 across the 14 of their papers we have counts for
16 papers
The -chain condition for unit interval determinantal fiber rings
Takayuki Hibi, Sora Miyashita
It is shown that certain finite partially ordered sets arising from unit interval determinantal facet ideals satisfy the -chain condition. In addition, their applications to com…
Two-sided bounds for canonical traces of Veronese subalgebras
Sora Miyashita
The classical Veronese formula of Goto--Watanabe identifies the canonical module of a Veronese subalgebra with the corresponding Veronese module. We prove the analogous compatibili…
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…
Canonical traces of Artinian truncations of Stanley-Reisner rings
Sora Miyashita
For a simplicial complex and integers , set . We give an exact combinatorial formula fo…
A Fitting criterion for quasi-Gorenstein local rings
Sora Miyashita
We prove that a Noetherian local ring with canonical module is quasi-Gorenstein if and only if $\Fitt_1^R(ω_R) \cong ω_R$. This settles the expectation of Eisenbud, Ficar…
Trace ideals of exterior powers of the module of differentials
Ryo Ishizuka, Sora Miyashita
For each , we study the trace ideal of the -th exterior power of the module of differentials. In characteristic zero, we show that these ideals characterize the polyno…
Higher-dimensional Teter rings via the canonical trace
Sora Miyashita, Taiga Ozaki
We study Puthenpurakal's higher-dimensional Teter rings via the canonical trace ideal. We give a sufficient criterion for Teterness and show that, in the standard graded case, it i…
Canonical traces of graded fiber products: applications to disconnected Stanley--Reisner rings
Shinya Kumashiro, Sora Miyashita
Recent work by Miyashita and Varbaro classified the canonical traces of Stanley--Reisner rings that are Gorenstein on the punctured spectrum, under the Cohen--Macaulay assumption.…
When do pseudo-Gorenstein rings become Gorenstein?
Sora Miyashita
We discuss the relationship between the trace ideal of the canonical module and pseudo-Gorensteinness. In particular, under certain mild assumptions, we show that every pseudo-Gore…
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum
Sora Miyashita, Matteo Varbaro
In this paper we prove that nearly Gorenstein Stanley-Reisner rings of dimension at least 3 are indeed Gorenstein. By previous work of the first author this yields a complete chara…
A linear generalization of the nearly Gorenstein property, with applications to Veronese subalgebras
Sora Miyashita
We studies the nearly Gorenstein property for Veronese subalgebras of (semi-)standard graded algebras. We introduce a condition~ for Cohen--Macaulay semi-standard grade…
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…
Comparing generalized Gorenstein properties in semi-standard graded rings
Sora Miyashita
Semi-standard graded rings are a generalized notion of standard graded rings. In this paper, we compare generalized notions of the Gorenstein property in semi-standard graded rings…
Nearly Gorenstein Polytopes
Thomas Hall, Max Kölbl, Koji Matsushita +1
In this paper, we study nearly Gorensteinness of Ehrhart rings arising from lattice polytopes. We give necessary conditions and sufficient conditions on lattice polytopes for their…
Nearly Gorenstein projective monomial curves of small codimension
Sora Miyashita
In this paper, we characterize nearly Gorenstein projective monomial curves of codimension 2 and 3.
Levelness versus nearly Gorensteinness of homogeneous domains
Sora Miyashita
Levelness and nearly Gorensteinness are well-studied properties of graded rings as a generalized notion of Gorensteinness. In this paper, we compare the strength of these propertie…