4 papers
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…
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…
Endomorphism algebras over commutative rings and torsion in self tensor products
Justin Lyle
Let be a commutative Noetherian local ring. We study tensor products involving a finitely generated -module through the natural action of its endomorphism ring. In parti…
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…