Nakayama automorphisms of twisted tensor products

In this paper, we study homological properties of twisted tensor products of connected graded algebras. We focus first on the Ext-algebras of twisted tensor products with a certain form of twisting maps. We show those Ext-algebras are also twisted tensor products, and describe the twisting maps for...

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Bibliographic Details
Published inJournal of algebra Vol. 504; pp. 445 - 478
Main Authors Shen, Y., Zhou, G.-S., Lu, D.-M.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.06.2018
Subjects
Artin–Schelter regular algebras
Ext-algebras
Nakayama automorphisms
Twisted tensor products
Ext-algebras
16W50
Artin–Schelter regular algebras
16E65
14A22
Twisted tensor products
Nakayama automorphisms
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Summary:In this paper, we study homological properties of twisted tensor products of connected graded algebras. We focus first on the Ext-algebras of twisted tensor products with a certain form of twisting maps. We show those Ext-algebras are also twisted tensor products, and describe the twisting maps for such Ext-algebras explicitly. With those preparations, we describe Nakayama automorphisms of twisted tensor products of noetherian Artin–Schelter regular algebras.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2018.02.025