most citedExtensions of a Dualizing Complex by its Ring: Commutative Versions of a Conjecture of Tachikawa

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math.RA1999

Artin Algebras with Loops but no Outer Derivations

R. -O. Buchweitz, S. Liu

We construct Artin algebras with vanishing first Hochschild Cohomology but a loop in their ordinary quiver. Some authors guessed earlier that such examples could not exist.