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Forcing Linearity Numbers for Modules over Simple Domains

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Abstract

If R is a simple Noetherian ring and V an R-module, then every homogeneous function on V is an endomorphism, i.e., the forcing linearity number, fln(V), of V is zero, unless R is a domain. Here we consider the problem of finding forcing linearity numbers for modules over simple Noetherian domains. As an application we find the forcing linearity numbers for all finitely generated modules over the first Weyl algebra.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    C. J. Maxson

  2. Department of Mathematics and Applied Mathematics, University of the Orange Free State, Bloemfontein, 9300, South Africa

    J. H. Meyer

Authors
  1. C. J. Maxson
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  2. J. H. Meyer
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Correspondence to C. J. Maxson.

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Maxson, C.J., Meyer, J.H. Forcing Linearity Numbers for Modules over Simple Domains. Results. Math. 42, 114–121 (2002). https://doi.org/10.1007/BF03323558

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  • DOI: https://doi.org/10.1007/BF03323558

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