Yoneda Ext-algebras of Takeuchi smash products

Published 2 Mar 2022 in math.RA | (2203.00857v1)

Abstract: We prove that the Yoneda Ext-algebra of a Takeuchi smash product is the graded Takeuchi smash product of the Yoneda Ext-algebras of the two algebras or modules involved. As an application, we prove that graded Takeuchi smash products preserve Artin-Schelter regularity, and describe the Nakayama automorphism of the product.

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