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Support $τ$-tilting modules over one-point extensions (2008.12181v1)
Published 27 Aug 2020 in math.RT
Abstract: Let $B$ be the one-point extension algebra of $A$ by an $A$-module $X$. We proved that every support $\tau$-tilting $A$-module can be extended to be a support $\tau$-tilting $B$-module by two different ways. As a consequence, it is shown that there is an inequality $$|\stilt B|\geqslant 2|\stilt A|.$$
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