14 citations · 19 across the 17 of their papers we have counts for
6 papers · 1 filter
When are the rings Gorenstein?
Naoki Endo, Shiro Goto, Shin-ichiro Iai +1
Let be an ideal of a -dimensional Noetherian local ring with , containing a non-zerodivisor. The problem of when the ring $I:I=\oper…
A criterion for reflexivity of modules
Naoki Endo, Shiro Goto
Let be a finitely generated module over a ring . With certain mild assumptions on , it is proven that is a reflexive -module, once as a -module…
Ulrich ideals in the ring
Naoki Endo, Shiro Goto, Shin-ichiro Iai +1
The Ulrich ideals in the semigroup rings and are determined, by describing the normal forms of systems of generators, where denotes t…
Ulrich ideals in numerical semigroup rings of small multiplicity
Naoki Endo, Shiro Goto
Ulrich ideals in numerical semigroup rings of small multiplicity are studied. If the semigroups are three-generated but not symmetric, the semigroup rings are Golod, since the Bett…
Almost Gorenstein determinantal rings of symmetric matrices
Ela Celikbas, Naoki Endo, Jai Laxmi +1
We provide a characterization of the almost Gorenstein property of determinantal rings of a symmetric matrix of indeterminates over an infinite field. We give an explicit formula f…
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,…