Nakayama automorphisms of twisted tensor products
Y. Shen, G.-S. Zhou, D.-M. Lu
TL;DR
This paper investigates the homological properties of twisted tensor products of graded algebras, especially focusing on Ext-algebras and Nakayama automorphisms, revealing their structural characteristics.
Contribution
It provides a detailed description of Ext-algebras as twisted tensor products and characterizes Nakayama automorphisms for these structures, advancing understanding of their algebraic properties.
Findings
Ext-algebras are also twisted tensor products
Explicit descriptions of twisting maps for Ext-algebras
Characterization of Nakayama automorphisms for certain algebras
Abstract
In this paper, we study homological properties of twisted tensor products of connected graded algebras. We focus on the Ext-algebras of twisted tensor products with a certain form of twisting maps firstly. We show those Ext-algebras are also twisted tensor products, and depict the twisting maps for such Ext-algebras in-depth. With those preparations, we describe Nakayama automorphisms of twisted tensor products of noetherian Artin-Schelter regular algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology