Endomorphism algebras of three-periodic elliptic helices are quotients of noncommutative symmetric algebras by degree-three normal elements; they are noetherian precisely when they have polynomial growth (with Markov triple ranks), the symmetric algebra is then a noetherian GK-three Z-algebra Proj'-
Van den Bergh, On an analogue of the Markov equation for exceptional collections of length 4
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Three-periodic helices on elliptic curves and their associated regular algebras
Endomorphism algebras of three-periodic elliptic helices are quotients of noncommutative symmetric algebras by degree-three normal elements; they are noetherian precisely when they have polynomial growth (with Markov triple ranks), the symmetric algebra is then a noetherian GK-three Z-algebra Proj'-