A+ CATEGORY SCIENTIFIC UNIT

Varieties with polynomially many models, I

Volume 170 / 2001

Paweł M. Idziak, Ralph McKenzie Fundamenta Mathematicae 170 (2001), 53-68 MSC: Primary 08A05; Secondary 03C13, 16D70. DOI: 10.4064/fm170-1-3

Abstract

A characterization of locally finite congruence modular varieties with the number of at most $k$-generated models being bounded from above by a polynomial in $k$ is given. These are exactly the varieties polynomially equivalent to the varieties of unitary modules over a finite ring of finite representation type.

Authors

  • Paweł M. IdziakComputer Science Department
    Jagiellonian University
    Nawojki 11
    30-072 Krak/ow, Poland
    e-mail
  • Ralph McKenzieDepartment of Mathematics
    Vanderbilt University
    1326 Stevenson Center
    Nashville, TN 37240, U.S.A.
    e-mail

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