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arXiv · 1705.07233

$τ$-tilting modules over one-point extensions by a projective module

Pamela Suarez
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Abstract

Let $A$ be the one point extension of an algebra $B$ by a projective $B$-module. We prove that the extension of a given support $τ$-tilting $B$-module is a support $τ$-tilting $A$-module; and, conversely, the restriction of a given support $τ$-tilting $A$-module is a support $τ$-tilting $B$-module. Moreover, we prove that there exists a full embedding of quivers between the corresponding poset of support $τ$-tilting modules.

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Pamela Suarez. 2017-05-20. $τ$-tilting modules over one-point extensions by a projective module. https://arxiv.org/abs/1705.07233

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