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arXiv · 1501.03074

Algebraically equipped posets

Raymundo Bautista·Ivon Dorado
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Abstract

We introduce partially ordered sets (posets) with an additional structure given by a collection of vector subspaces of an algebra $A$. We call them algebraically equipped posets. Some particular cases of these, are generalized equipped posets and $p$-equipped posets, for a prime number $p$. We study their categories of representations and establish equivalences with some module categories, categories of morphisms and a subcategory of representations of a differential tensor algebra. Through this, we obtain matrix representations and its corresponding matrix classification problem.

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Raymundo Bautista, Ivon Dorado. 2015-01-13. Algebraically equipped posets. https://arxiv.org/abs/1501.03074

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