3 papers
math.AC2026
Derived graded modules
Ryo Ishizuka, Shou Yoshikawa
We introduce the notion of the -category of (complete) derived -graded modules over a -graded ring for a torsion-free abelian group , and we study its foundati…
math.AC2025
Graded perfectoid rings
Ryo Ishizuka, Shou Yoshikawa
We introduce and study graded perfectoid rings as graded analogues of Scholze's (integral) perfectoid rings. We establish a categorical equivalence between graded perfectoid rings…
math.AC2024
Perfectoid towers generated from prisms
Ryo Ishizuka
We present a unified construction of perfectoid towers from specific prisms which covers all the previous constructions of (p-torsion-free) perfectoid towers. By virtue of the cons…