论文标题
支持$τ$ - 在单点扩展程序上使用模块
Support $τ$-tilting modules over one-point extensions
论文作者
论文摘要
令$ b $为$ a $ a $ module $ x $的单点扩展代数。我们证明,每个支持$τ$ - tilting $ a $ module都可以扩展为支持$τ$ - 以两种不同的方式来$τ$ -B $ -MODULE。结果,结果表明存在不平等$$ | \ tilt b | \ geqslant 2 | \ stilt a |。$$
Let $B$ be the one-point extension algebra of $A$ by an $A$-module $X$. We proved that every support $τ$-tilting $A$-module can be extended to be a support $τ$-tilting $B$-module by two different ways. As a consequence, it is shown that there is an inequality $$|\stilt B|\geqslant 2|\stilt A|.$$