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Algebras which are nearly finite dimensional and their identities

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Abstract

Suppose that all the nonzero one-sided or two-sided ideals of an algebra have finite codimension. To what extent must the algebra be p.i. or primitive?

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Authors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USA

    Daniel R. Farkas

  2. Department of Mathematics, University of California at San Diego, 92093, La Jolla, CA, USA

    Lance W. Small

Authors
  1. Daniel R. Farkas
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  2. Lance W. Small
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Farkas, D.R., Small, L.W. Algebras which are nearly finite dimensional and their identities. Isr. J. Math. 127, 245–251 (2002). https://doi.org/10.1007/BF02784533

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  • DOI: https://doi.org/10.1007/BF02784533

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