6 citations · 33 across the 20 of their papers we have counts for
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math.AC2018★ 6 cited
Local rings with self-dual maximal ideal
Toshinori Kobayashi
Let R be a Cohen-Macaulay local ring possessing a canonical module. In this paper we consider when the maximal ideal of R is self-dual, i.e. it is isomorphic to its canonical dual…
math.AC2018★ 4 cited
Rings whose ideals are isomorphic to trace ideals
Toshinori Kobayashi, Ryo Takahashi
Let R be a commutative noetherian ring. Lindo and Pande have recently posed the question asking when every ideal of R is isomorphic to some trace ideal of R. This paper studies thi…