14 citations · 31 across the 13 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AC2021★ 3 cited
Reflexive modules over Arf local rings
Ryotaro Isobe, Shinya Kumashiro
We provide a certain direct-sum decomposition of reflexive modules over (one-dimensional) Arf local rings. We also see the equivalence of three notions, say, integrally closed idea…
math.AC2021★ 1 cited
Topics on strict closure of rings
Naoki Endo, Shiro Goto, Ryotaro Isobe
In 1971, J. Lipman introduced the notion of strict closure of a ring in another, and established the underlying theory in connection with a conjecture of O. Zariski. In this paper,…
math.AC2021★ 1 cited
Decomposition of integrally closed ideals in Arf rings
Ryotaro Isobe
This study investigates the structure of Arf rings. From the perspective of ring extensions, a decomposition of integrally closed ideals is given. Using this, we present a kind of…