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math.RA2016★ 5 cited
The classification of 3-dimensional noetherian cubic Calabi-Yau algebras
Izuru Mori, Kenta Ueyama
It is known that every 3-dimensional noetherian Calabi-Yau algebra generated in degree 1 is isomorphic to a Jacobian algebra of a superpotential. Recently, S. P. Smith and the firs…
math.RA2016★ 5 cited
Cluster tilting modules and noncommutative projective schemes
Kenta Ueyama
In this paper, we study the relationship between equivalences of noncommutative projective schemes and cluster tilting modules. In particular, we prove the following result. Let $A…