A morita context related to finite automorphism groups of rings

Miriam Cohen

doi:10.2140/pjm.1982.98.37

A morita context related to finite automorphism groups of rings

Miriam Cohen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

Let R be a semiprime ring, G a finite group of automorphisms of R and R^G the fixed ring. We investigate the associated Morita context (R^G, R, R, R⋆G), where R⋆G is the skew group ring. We then apply these results to two situations: (1)G is X-outer (2)2? is G-torsion free.

Original language	English
Pages (from-to)	37-54
Number of pages	18
Journal	Pacific Journal of Mathematics
Volume	98
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1982.98.37
State	Published - 1 Jan 1982

ASJC Scopus subject areas

General Mathematics

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10.2140/pjm.1982.98.37

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abstract = "Let R be a semiprime ring, G a finite group of automorphisms of R and RG the fixed ring. We investigate the associated Morita context (RG, R, R, R⋆G), where R⋆G is the skew group ring. We then apply these results to two situations: (1)G is X-outer (2)2? is G-torsion free.",

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AB - Let R be a semiprime ring, G a finite group of automorphisms of R and RG the fixed ring. We investigate the associated Morita context (RG, R, R, R⋆G), where R⋆G is the skew group ring. We then apply these results to two situations: (1)G is X-outer (2)2? is G-torsion free.

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A morita context related to finite automorphism groups of rings

Abstract

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