A property of the solvable radical in finitely decidable varieties

Paweł M. Idziak, and Matthew Valeriote. "A property of the solvable radical in finitely decidable varieties." Fundamenta Mathematicae 170.1-2 (2001): 69-86. <http://eudml.org/doc/281840>.

@article{PawełM2001,
abstract = {It is shown that in a finitely decidable equational class, the solvable radical of any finite subdirectly irreducible member is comparable to all congruences of the irreducible if the type of the monolith is 2. In the type 1 case we establish that the centralizer of the monolith is strongly solvable.},
author = {Paweł M. Idziak, Matthew Valeriote},
journal = {Fundamenta Mathematicae},
keywords = {decidability; variety; universal algebra; finitely definable; congruence modular variety; centralizer; monolith; subdirectly irreducible algebra; finite decidability; finite algebras},
language = {eng},
number = {1-2},
pages = {69-86},
title = {A property of the solvable radical in finitely decidable varieties},
url = {http://eudml.org/doc/281840},
volume = {170},
year = {2001},
}

TY - JOUR
AU - Paweł M. Idziak
AU - Matthew Valeriote
TI - A property of the solvable radical in finitely decidable varieties
JO - Fundamenta Mathematicae
PY - 2001
VL - 170
IS - 1-2
SP - 69
EP - 86
AB - It is shown that in a finitely decidable equational class, the solvable radical of any finite subdirectly irreducible member is comparable to all congruences of the irreducible if the type of the monolith is 2. In the type 1 case we establish that the centralizer of the monolith is strongly solvable.
LA - eng
KW - decidability; variety; universal algebra; finitely definable; congruence modular variety; centralizer; monolith; subdirectly irreducible algebra; finite decidability; finite algebras
UR - http://eudml.org/doc/281840
ER -