3 citations · 4 across the 6 of their papers we have counts for
7 papers
On the weakly Arf -ifications of Noetherian rings
Naoki Endo, Shiro Goto, Shin-ichiro Iai +1
The weakly Arf -ification of a commutative Noetherian ring is considered to be a birational extension which is good next to the normalization. The weakly Arf property (W…
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,…
Construction of strictly closed rings
Naoki Endo, Shiro Goto
The notion of strict closedness of rings was given by J. Lipman in connection with a conjecture of O. Zariski. The present purpose is to give a practical method of construction of…