Ext-algebras of graded skew extensions
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.
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