6 citations · 33 across the 20 of their papers we have counts for
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math.AC2020★ 2 cited
On a class of Burch ideals and a conjecture of Huneke and Wiegand
Olgur Celikbas, Toshinori Kobayashi
In this paper we are concerned with a long-standing conjecture of Huneke and Wiegand. We introduce a new class of ideals and prove thateach ideal from such class satisfies the conc…
math.AC2020★ 4 cited
Trace of canonical modules, annihilator of Ext, and classes of rings close to being Gorenstein
Hailong Dao, Toshinori Kobayashi, Ryo Takahashi
In this note we study trace ideals of canonical modules. Characterizations of the trace ideals in terms of annihilators of certain Ext modules are given. We apply our results to st…