# Varieties with polynomially many models, I

Paweł M. Idziak; Ralph McKenzie

Fundamenta Mathematicae (2001)

- Volume: 170, Issue: 1-2, page 53-68
- ISSN: 0016-2736

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topPaweł M. Idziak, and Ralph McKenzie. "Varieties with polynomially many models, I." Fundamenta Mathematicae 170.1-2 (2001): 53-68. <http://eudml.org/doc/282464>.

@article{PawełM2001,

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.},

author = {Paweł M. Idziak, Ralph McKenzie},

journal = {Fundamenta Mathematicae},

keywords = {congruence-modular variety; ring of finite representation type; growth-spectrum; locally finite variety; tame congruence theory; affine variety},

language = {eng},

number = {1-2},

pages = {53-68},

title = {Varieties with polynomially many models, I},

url = {http://eudml.org/doc/282464},

volume = {170},

year = {2001},

}

TY - JOUR

AU - Paweł M. Idziak

AU - Ralph McKenzie

TI - Varieties with polynomially many models, I

JO - Fundamenta Mathematicae

PY - 2001

VL - 170

IS - 1-2

SP - 53

EP - 68

AB - 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.

LA - eng

KW - congruence-modular variety; ring of finite representation type; growth-spectrum; locally finite variety; tame congruence theory; affine variety

UR - http://eudml.org/doc/282464

ER -

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