1 citations · 2 across the 2 of their papers we have counts for
5 papers
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,…
The Structure of Ulrich ideals in hypersurfaces
Ryotaro Isobe
This paper studies Ulrich ideals in hypersurface rings. A characterization of Ulrich ideals is given. Using the characterization, we construct a minimal free resolution of an Ulric…
Ulrich ideals and 2-AGL rings
Shiro Goto, Ryotaro Isobe, Naoki Taniguchi
The notion of 2-almost Gorenstein local ring (2-AGL ring for short) is a generalization of the notion of almost Gorenstein local ring from the point of view of Sally modules of can…
The structure of chains of Ulrich ideals in Cohen-Macaulay local rings of dimension one
Shiro Goto, Ryotaro Isobe, Shinya Kumashiro
This paper studies Ulrich ideals in one-dimensional Cohen-Macaulay local rings. A correspondence between Ulrich ideals and overrings is given. Using the correspondence, chains of U…
Correspondence between trace ideals and birational extensions with application to the analysis of the Gorenstein property of rings
Shiro Goto, Ryotaro Isobe, Shinya Kumashiro
Over an arbitrary commutative ring, correspondences among three sets, the set of trace ideals, the set of stable ideals, and the set of birational extensions of the base ring, are…