11 citations · 56 across the 19 of their papers we have counts for
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math.AC2022★ 2 cited
Homological dimensions of Burch ideals, submodules and quotients
Dipankar Ghosh, Aniruddha Saha
The notion of Burch ideals and Burch submodules were introduced (and studied) by Dao-Kobayashi-Takahashi in 2020 and Dey-Kobayashi in 2022 respectively. The aim of this article is…
math.AC2022★ 1 cited
Integrally closed -primary ideals have extremal resolutions
Dipankar Ghosh, Tony J. Puthenpurakal
We show that every integrally closed -primary ideal in a commutative Noetherian local ring has maximal complexity and curvature, i.e., $ {\rm…
math.AC2022★ 7 cited
Complexity and rigidity of Ulrich modules, and some applications
Souvik Dey, Dipankar Ghosh
We analyze whether Ulrich modules, not necessarily maximal CM (Cohen-Macaulay), can be used as test modules, which detect finite homological dimensions of modules. We prove that Ul…