학술논문
Support $\tau$-tilting modules over one-point extensions
Document Type
Working Paper
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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 $$|\stilt B|\geqslant 2|\stilt A|.$$
Comment: 9 pages, accepted by Comm in algebra
Comment: 9 pages, accepted by Comm in algebra