Ryo Ishizuka

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math.AC2026

Trace ideals of exterior powers of the module of differentials

Ryo Ishizuka, Sora Miyashita

For each $i \geq 0$ , we study the trace ideal of the $i$ -th exterior power of the module of differentials. We show that these ideals characterize the polynomial rank of graded ring…

math.AC2025

A higher algebraic approach to liftings of modules over derived quotients

Ryo Ishizuka

We show a certain existence of a lifting of modules under the self- $Ext^{2}$ -vanishing condition over the "derived quotient" by using the notion of higher algebra. This refi…