6 citations · 33 across the 20 of their papers we have counts for
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math.AC2019
The Huneke-Wiegand conjecture and middle terms of almost split sequences
Toshinori Kobayashi
Let R be a Gorenstein local domain of dimension one. We show that a nonfree maximal Cohen--Macaulay R-module M possessing more than one nonfree indecomposable summand in the middle…
math.AC2019★ 2 cited
Burch ideals and Burch rings
Hailong Dao, Toshinori Kobayashi, Ryo Takahashi
We introduce the notion of Burch ideals and Burch rings. They are easy to define, and can be viewed as generalization of many well-known concepts, for example integrally closed ide…
math.AC2019
Maximal Cohen-Macaulay modules that are not locally free on the punctured spectrum
Toshinori Kobayashi, Justin Lyle, Ryo Takahashi
We say that a Cohen-Macaulay local ring has finite -representation type if there exist only finitely many isomorphism classes of indecomposable maxima…