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Ring Theory pp 69–74Cite as

Regular group algebras whose maximal right and left quotient rings coincide

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1328))

Abstract

We characterize the regular group algebras whose maximal right and left quotient rings coincide. In fact we prove that if K[G] is a regular group algebra, then Qr(K[G]) = Q1(K[G]) if and only if G is abelian-by-finite. This completes the result of Goursaud and Valette, that prove some special cases, namely when K either has positive characteristic or contains all roots of unity.

This work was partially supported by CAICYT grant 3556/83.

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References

  1. F. Cedó, On the maximal quotient ring of regular group rings. To appear in Journal of Algebra.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra (Barcelona), Spain

    Ferran Cedó

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  1. Ferran Cedó
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Jose Luis Bueso Pascual Jara Blas Torrecillas

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© 1988 Springer-Verlag

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Cedó, F. (1988). Regular group algebras whose maximal right and left quotient rings coincide. In: Bueso, J.L., Jara, P., Torrecillas, B. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100916

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  • DOI: https://doi.org/10.1007/BFb0100916

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19474-3

  • Online ISBN: 978-3-540-39278-1

  • eBook Packages: Springer Book Archive

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