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TILTED ALGEBRAS AND CROSSED PRODUCTS*

Part of: Representation theory of rings and algebras Rings and algebras arising under various constructions

Published online by Cambridge University Press:  21 July 2015

YANAN LIN  and
ZHENQIANG ZHOU
YANAN LIN
Affiliation:
The School of Mathematical Sciences, Xiamen University, Xiamen 361005, P.R. China e-mail: [email protected]
ZHENQIANG ZHOU
Affiliation:
The School of Mathematical Sciences, Xiamen University, Xiamen 361005, P.R. China e-mail: [email protected]
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Abstract

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We consider an artin algebra A and its crossed product algebra A α#σ G, where G is a finite group with its order invertible in A. Then, we prove that A is a tilted algebra if and only if so is A α#σ G.

MSC classification

Primary: 16S35: Twisted and skew group rings, crossed products
Secondary: 16G20: Representations of quivers and partially ordered sets
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 3 , September 2016 , pp. 559 - 571
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

Footnotes

*

Supported by the National Natural Science Foundation of China (Grant No. 11471269).

References

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