Unanswered 'ac.commutative-algebra+matrices+koszul-duality' Questions

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$M^2=0$ defines a Koszul algebra ? What if $M$ is Manin's endomorphism's of Koszul $A$ ? (Here $M^2=\sum_k M_{ik}M_{kj}$ - resembles $d^2=0$).)

Consider a matrix $M$ which elements $M_{ij}$ are generators of some algebra $K$, impose new relations: $M^2=0$ and get a new algebra $K_{2}$. Question 1: Is it true that $K_2$ is Koszul algebra when ...

Alexander Chervov

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asked May 7 at 13:47

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$M^2=0$ defines a Koszul algebra ? What if $M$ is Manin's endomorphism's of Koszul $A$ ? (Here $M^2=\sum_k M_{ik}M_{kj}$ - resembles $d^2=0$).)

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$M^2=0$ defines a Koszul algebra ? What if $M$ is Manin's endomorphism's of Koszul $A$ ? (Here $M^2=\sum_k M_{ik}M_{kj}$ - resembles $d^2=0$).)

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