43 citations · 202 across the 61 of their papers we have counts for
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The almost Gorenstein Rees algebras of parameters
Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi +1
There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees…
Ulrich ideals and almost Gorenstein rings
Shiro Goto, Ryo Takahashi, Naoki Taniguchi
The structure of the complex is explored for an Ulrich ideal in a Cohen-Macaulay local ring . As a consequence, it is proved that in…
The almost Gorenstein Rees algebras over two-dimensional regular local rings
Shiro Goto, Naoyuki Matsuoka, Naoki Taniguchi +1
Let be a two-dimensional regular local ring with infinite residue class field. Then the Rees algebra of is an almos…
Sally Modules and Reduction Numbers of Ideals
Laura Ghezzi, Shiro Goto, Jooyoun Hong +1
We study the relationship between the reduction number of a primary ideal of a local ring relative to one of its minimal reductions and the multiplicity of the corresponding Sally…
Extension closedness of syzygies and local Gorensteinness of commutative rings
Shiro Goto, Ryo Takahashi
We refine a well-known theorem of Auslander and Reiten about the extension closedness of n-th syzygies over noether algebras. Applying it, we obtain the converse of a celebrated th…