GRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULAR

Abstract This is a general study of twisted Calabi–Yau algebras that are $\mathbb {N}$ -graded and locally finite-dimensional, with the following major results. We prove finite graded algebra if only it separable modulo its radical satisfies one several suitable generalizations Artin–Schelter regularity property, adapted from work Martinez-Villa as well Minamoto Mori. characterize dimension 0 k -algebras, we similarly 1 tensor certain invertible bimodules over algebras. Finally, 2 noetherian has GK dimension.