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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

$ R$-automorphisms of $ R[G]$ for $ G$ abelian torsion-free


Author: David C. Lantz
Journal: Proc. Amer. Math. Soc. 61 (1976), 1-6
MSC: Primary 13F20; Secondary 13B10
DOI: https://doi.org/10.1090/S0002-9939-1976-0435060-1
MathSciNet review: 0435060
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Abstract: Let $ R$ be a commutative ring with identity and $ G$ a torsion-free abelian group. This note describes for a reduced $ R$ the group of $ R$-automorphisms of the group ring $ R[G]$ when either $ R$ has finitely many idempotents or $ G$ has finite torsion-free rank. It also describes the $ R$-automorphisms of $ R[G]$ for a general $ R$ and $ G$ finitely generated free.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0435060-1
Keywords: Group ring, automorphism, torsion-free rank
Article copyright: © Copyright 1976 American Mathematical Society