Robin Baidya

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20172021

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math.AC2021

Injective capacity and cogeneration

Robin Baidya, Yongwei Yao

Let $M$ and $N$ be modules over a commutative ring $R$ with $N$ Noetherian. We define the injective capacity of $M$ with respect to $N$ over $R$ to be the supremum of the values $t…

math.AC2021

Cancellation of finite-dimensional Noetherian modules

Robin Baidya

The Module Cancellation Problem solicits hypotheses that, when imposed on modules $K$ , $L$ , and $M$ over a ring $S$ , afford the implication $K\oplus L\cong K\oplus M\Longrightarrow…

math.AC2019

A Hilbert-Kunz function with a periodic term that has a given period

Robin Baidya

A result of Monsky states that the Hilbert-Kunz function of a one-dimensional local ring of prime characteristic has a term $ϕ$ that is eventually periodic. For example, in the cas…

math.AC2017

Surjective and splitting capacities

Robin Baidya

Let R be a commutative ring, S a module-finite R-algebra, M a right S-module, and N a finitely generated right S-module such that the intersection of Max(R) and Supp(N) is finite-d…