Abstract
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].
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Acknowledgements
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).
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Shen, Y., Wang, X. & Zhou, GS. Ext-Algebras of Graded Skew Extensions. Results Math 73, 115 (2018). https://doi.org/10.1007/s00025-018-0878-6
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DOI: https://doi.org/10.1007/s00025-018-0878-6