Author

Sora Miyashita

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Preprint Aug 2026

A Fitting criterion for quasi-Gorenstein local rings

Let $(R,\mathfrak m)$ be a Noetherian local ring admitting a canonical module $\omega_R$. We prove that $R$ is quasi-Gorenstein if and only if $\operatorname{Fitt}_1^R(\omega_R)\cong\omega_R$. When $R$ is Cohen-Macaulay, the same condition characterizes the Gorenstein property, confirming an expectation of Eisenbud, Fi...

Sora Miyashita · 0 citations

Preprint Aug 2026

Canonical traces of Artinian truncations of Stanley-Reisner rings

For a simplicial complex $\Delta$ and integers $n_i\ge 2$, set $A_{\Delta,\mathbf n}=\mathbb{k}[x_1,\ldots,x_m]/(I_\Delta+(x_1^{n_1},\ldots,x_m^{n_m}))$. We give an exact combinatorial formula for the canonical trace for arbitrary truncation exponents and for an arbitrary simplicial complex after deleting irrelevant gh...

Sora Miyashita · 1 citation