Ext-algebras of graded skew extensions

2017/07/06 by Y. Shen, X. Wang, Shen, Y. +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1707.01610

openalex publication_date 2017/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebra A and a graded automorphism σ, we analyze the Yoneda product of the Ext-algebra of graded skew extension A[z;σ], and prove this Ext-algebra is an R-smash product of the Ext-algebra of A and the one of polynomial algebra k[z] as an associative algebra.

Cited by

• Nakayama automorphisms of graded double Ore extensions of Koszul Artin-Schelter regular algebras with nontrivial skew derivations

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