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$\Lambda$ is a finite dimensional algebra given by

$$\begin{array}{rcccl} 1 \rightrightarrows 2 \stackrel{\alpha}{\circlearrowright} \ \ \ \alpha^{3}=0\\ \end{array}$$

Is $\Lambda$ is 1-syzygy finite?

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    $\begingroup$ You might have to edit your diagram, it's not working (I don't think xymatrix is available here) $\endgroup$
    – David Roberts ♦
    Commented Sep 14, 2021 at 5:08
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    $\begingroup$ It seems you have to use \begin{array} for diagrams like this. An example of how to do this can be found here: legacy-www.math.harvard.edu/texman/node27.html I have found this too much hassle and have avoided using diagrams in my answers for this reason. $\endgroup$
    – Robert Furber
    Commented Sep 14, 2021 at 6:04
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    $\begingroup$ Can you add the definition of "1-syzygy finite"? $\endgroup$
    – Pedro
    Commented Sep 16, 2021 at 11:57

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