14 citations · 19 across the 17 of their papers we have counts for
4 papers · 1 filter
Goto rings
Naoki Endo
As part of stratification of Cohen-Macaulay rings, we introduce and develop the theory of Goto rings, generalizing the notion of almost Gorenstein rings originally defined by V. Ba…
Remarks on almost Gorenstein rings
Naoki Endo, Naoyuki Matsuoka
This paper investigates the relation between the almost Gorenstein properties for graded rings and for local rings. Once is an almost Gorenstein graded ring, the localization $…
How many ideals whose quotient rings are Gorenstein exist?
Naoki Endo
For an Ulrich ideal in a Gorenstein local ring, the quotient ring is again Gorenstein. Aiming to further develop the theory of Ulrich ideals, this paper investigates a naive questi…
Reflexive modules over the endomorphism algebras of reflexive trace ideals
Naoki Endo, Shiro Goto
In the present paper we investigate reflexive modules over the endomorphism algebras of reflexive trace ideals in a one-dimensional Cohen-Macaulay local ring. The main theorem gene…