Ext-Algebras of Graded Skew Extensions

In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebra A and a graded automorphism σ of A , 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 an...

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Bibliographic Details
Published inResultate der Mathematik Vol. 73; no. 3
Main Authors Shen, Y., Wang, X., Zhou, G.-S.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.09.2018
Subjects
Mathematics
Mathematics and Statistics
Ext-algebras
Graded skew extensions
16W50
18G15
16S36
smash products
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Summary:In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebra A and a graded automorphism σ of A , 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 ].
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-018-0878-6