Ext-Algebras of Graded Skew Extensions

Ext-Algebras of Graded Skew Extensions
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梯度斜扩展的外代数

DOI:
10.1007/s00025-018-0878-6
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发表时间:
2018
影响因子:
2.2
通讯作者:
Zhou G S
Zhou G S
中科院分区:
数学3区
文献类型:
--
作者:
Shen Y;Wang X;Zhou G S

文献摘要

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本文研究了分次斜扩张的扩张代数。对于连通分次代数A和分次自同构A,我们分析了分次斜扩张的Ext-代数的Yoneda积,证明了这个Ext-代数是A的Ext-代数和多项式代数[z]的Ext-代数的ANR-smash积。
In this paper, we study the Ext-algebras of graded skew extensions. For a connected graded algebraAand a graded automorphismofA, we analyze the Yoneda product of the Ext-algebra of graded skew extension, and prove this Ext-algebra is anR-smash product of the Ext-algebra ofAand the one of polynomial algebrak[z].