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arXiv · 1210.2026

On the radical of multigraded modules

Viviana Ene·Ryota Okazaki
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Abstract

We define a functor $\rr^\ast$ from the category of positively determined modules to the category of squarefree modules which plays the role of passing from a monomial ideal to its radical. By using this functor, we generalize several results on properties that are shared by a monomial ideal and its radical. Moreover, we study the connection of $\rr^\ast$ to the Alexander duality and Auslander-Reiten translate functor.

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Viviana Ene, Ryota Okazaki. 2012-10-07. On the radical of multigraded modules. https://arxiv.org/abs/1210.2026

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