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Direct finiteness of representable regular \(*\)-rings

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Abstract

We show that a von Neumann regular ring with involution is directly finite provided that it admits a representation as a \(*\)-ring of endomorphisms of a vector space endowed with a non-degenerate orthosymmetric sesquilinear form.

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Authors and Affiliations

  1. Technische Universität Darmstadt FB4, Schloßgartenstr. 7, 64289, Darmstadt, Germany

    Christian Herrmann

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  1. Christian Herrmann
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Correspondence to Christian Herrmann.

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Dedicated to the memory of Susan M. Roddy.

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Herrmann, C. Direct finiteness of representable regular \(*\)-rings. Algebra Univers. 80, 3 (2019). https://doi.org/10.1007/s00012-019-0577-5

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  • DOI: https://doi.org/10.1007/s00012-019-0577-5

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