Geodesic
Varieties with polynomially many models, I
Paweł M. Idziak1 ; Ralph McKenzie2
1Computer Science Department Jagiellonian University Nawojki 11 30-072 Krak/ow, Poland
2Department of Mathematics Vanderbilt University 1326 Stevenson Center Nashville, TN 37240, U.S.A.
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 53-68
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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.
DOI : 10.4064/fm170-1-3
Keywords: characterization locally finite congruence modular varieties number k generated models being bounded above polynomial given these exactly varieties polynomially equivalent varieties unitary modules finite ring finite representation type

Paweł M. Idziak  1   ; Ralph McKenzie  2

1 Computer Science Department Jagiellonian University Nawojki 11 30-072 Krak/ow, Poland
2 Department of Mathematics Vanderbilt University 1326 Stevenson Center Nashville, TN 37240, U.S.A. 
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Paweł M. Idziak; Ralph McKenzie. Varieties with polynomially many models, I. Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 53-68. doi: 10.4064/fm170-1-3

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