Varieties with polynomially many models, I

Paweł 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 -