Varieties with polynomially many models, I
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 53-68
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
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
Affiliations des auteurs :
Paweł M. Idziak 1 ; Ralph McKenzie 2
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author = {Pawe{\l} M. Idziak and Ralph McKenzie},
title = {Varieties with polynomially many models, {I}},
journal = {Fundamenta Mathematicae},
pages = {53--68},
publisher = {mathdoc},
volume = {170},
number = {1},
year = {2001},
doi = {10.4064/fm170-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-3/}
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TY - JOUR AU - Paweł M. Idziak AU - Ralph McKenzie TI - Varieties with polynomially many models, I JO - Fundamenta Mathematicae PY - 2001 SP - 53 EP - 68 VL - 170 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-3/ DO - 10.4064/fm170-1-3 LA - en ID - 10_4064_fm170_1_3 ER -
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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