Ext-Algebras of Graded Skew Extensions
- 44 Downloads
In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebra A and a graded automorphism \(\sigma \) of A, we analyze the Yoneda product of the Ext-algebra of graded skew extension \(A[z;\sigma ]\), and prove this Ext-algebra is an R-smash product of the Ext-algebra of A and the one of polynomial algebra k[z].
KeywordsGraded skew extensions Ext-algebras R-smash products
Mathematics Subject Classification16W50 16S36 18G15
Y. Shen is supported by the NSFC (Grant No. 11701515) and Science Foundation of Zhejiang Sci-Tech University (Grant No. 16062066-Y); X. Wang is supported by the NSFC (Grant No. 11671351); G.-S. Zhou is supported by the NSFC (Grant No. 11601480).
- 1.Avramov, L.L., Foxby, H.B., Halperin, S.: Differential graded homological algebra (1994) (preprint)Google Scholar