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math.AC2020★ 2 cited
On colon operations and special types of ideals
Hailong Dao
We record a general asymptotic formula for colon of ideals and proceed to give some applications regarding -full, weakly -full, and full ideals.
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…