NAKAYAMA AUTOMORPHISMS OF ORE EXTENSIONS OVER POLYNOMIAL ALGEBRAS

被引：4

作者：

Liu, Liyu ^{[1
]}

Ma, Wen ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, 180 Siwangting Rd, Yangzhou 225002, Jiangsu, Peoples R China

来源：

GLASGOW MATHEMATICAL JOURNAL | 2020年 / 62卷 / 03期

关键词：

16E40; 16S36; 16W22; DUALIZING COMPLEXES;

D O I：

10.1017/S0017089519000259

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nakayama automorphisms play an important role in the fields of noncommutative algebraic geometry and noncommutative invariant theory. However, their computations are not easy in general. We compute the Nakayama automorphism nu of an Ore extensionR[x; sigma, delta] over a polynomial algebraRinnvariables for an arbitraryn. The formula of nu is obtained explicitly. When sigma is not the identity map, the invariantE(G)is also investigated in terms of Zhang's twist, whereGis a cyclic group sharing the same order with sigma.

引用

页码：518 / 530

页数：13

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