# A property of the solvable radical in finitely decidable varieties

Paweł M. Idziak; Matthew Valeriote

Fundamenta Mathematicae (2001)

- Volume: 170, Issue: 1-2, page 69-86
- ISSN: 0016-2736

## Access Full Article

top## Abstract

top## How to cite

topPaweł 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.