$Lambda$ is a finite dimensional algebra given by

$$xymatrix{1bulletar@<1ex>(rr)^{theta}ar@<-1ex>(rr)^{gamma}&&2bulletar@(r,d)()^{alpha}

&&&&{rm with} alpha^{3}=0}$$

Is $Lambda$ is 1-syzygy finite?

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# Is the following algebra 1-syzygy finite?

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$Lambda$ is a finite dimensional algebra given by

$$xymatrix{1bulletar@<1ex>(rr)^{theta}ar@<-1ex>(rr)^{gamma}&&2bulletar@(r,d)()^{alpha}

&&&&{rm with} alpha^{3}=0}$$

Is $Lambda$ is 1-syzygy finite?

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