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math.AC2025
Centers of Endomorphism Rings and Reflexivity
Souvik Dey, Justin Lyle
Let be a local ring and let be a finitely generated -module. Appealing to the natural left module structure of over its endomorphism ring and corresponding center $Z…
math.AC2025
Ordinary and symbolic powers of matroids via polarization
Justin Lyle, Paolo Mantero
In this paper, we propose a uniform approach to tackle problems about squarefree monomial ideals whose powers have good properties. We employ this approach to achieve a twofold goa…
math.AC2025
On the depth of tensor products over Cohen-Macaulay rings
Kaito Kimura, Justin Lyle, Andrew J. Soto-Levins
Inspired by classical work on the depth formula for tensor products of finitely generated -modules, we introduce two conditions which we call and $(\mathbf{rde…