4 papers
Nearly Gorenstein blow-up algebras over two-dimensional regular local rings
Naoki Endo, Ken-ichi Yoshida
In this paper, we slightly extend the framework of nearly Gorenstein graded rings introduced by Herzog-Hibi-Stamate, and investigate the nearly Gorenstein property of the blow-up a…
Modules of minimal multiplicity over one-dimensional Cohen-Macaulay local rings
Ela Celikbas, Olgur Celikbas, Naoki Endo +1
We study finitely generated modules of minimal multiplicity, a notion introduced by Puthenpurakal that extends the classical concept of minimal multiplicity from rings to modules.…
Normality of Ideals and Modules
Naoki Endo, Shiro Goto, Jooyoun Hong +1
We investigate when the Rees algebra of an integrally closed -primary ideal in a regular local ring is a Cohen-Macaulay normal domain. While this property always hold…
Quasi-Gorenstein extended Rees algebras associated with filtrations
Naoki Endo
This paper investigates the quasi-Gorenstein property of extended Rees algebras associated with the Hilbert filtrations on a Noetherian local ring. We provide necessary and suffici…