43 citations · 202 across the 61 of their papers we have counts for
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math.AC2013
Non-complete intersection prime ideals in dimension 3
Shiro Goto, Liam O'Carroll, Francesc Planas-Vilanova
We describe prime ideals of height 2 minimally generated by 3 elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related t…
math.AC2013★ 4 cited
Ulrich ideals and modules over two-dimensional rational singularities
Shiro Goto, Kazuho Ozeki, Ryo Takahashi +2
The main aim of this paper is to classify Ulrich ideals and Ulrich modules over two-dimensional Gorenstein rational singularities (rational double points) from a geometric point of…
math.AC2013★ 2 cited
Huneke-Wiegand conjecture and change of rings
Shiro Goto, Ryo Takahashi, Naoki Taniguchi +1
Let be a Cohen-Macaulay local ring of dimension one with a canonical module . Let be a faithful ideal of . We explore the problem of when …