Geodesic
A property of the solvable radicalin finitely decidable varieties
Paweł M. Idziak1 ; Matthew Valeriote2
1Computer Science Department Jagiellonian University Nawojki 11 30-072 Krak/ow, Poland
2Department of Mathematics and Statistics McMaster University Hamilton, Ontario Canada
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 69-86
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 ${\bf 2} $. In the type ${\bf 1} $ case we establish that the centralizer of the monolith is strongly solvable.
DOI : 10.4064/fm170-1-4
Keywords: shown finitely decidable equational class solvable radical finite subdirectly irreducible member comparable congruences irreducible type monolith type establish centralizer monolith strongly solvable

Paweł M. Idziak  1   ; Matthew Valeriote  2

1 Computer Science Department Jagiellonian University Nawojki 11 30-072 Krak/ow, Poland
2 Department of Mathematics and Statistics McMaster University Hamilton, Ontario Canada 
@article{10_4064_fm170_1_4,
     author = {Pawe{\l} M. Idziak and Matthew Valeriote},
     title = {A property of the solvable radicalin finitely decidable varieties},
     journal = {Fundamenta Mathematicae},
     pages = {69--86},
     year = {2001},
     volume = {170},
     number = {1},
     doi = {10.4064/fm170-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-4/}
}
TY  - JOUR
AU  - Paweł M. Idziak
AU  - Matthew Valeriote
TI  - A property of the solvable radicalin finitely decidable varieties
JO  - Fundamenta Mathematicae
PY  - 2001
SP  - 69
EP  - 86
VL  - 170
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-4/
DO  - 10.4064/fm170-1-4
LA  - en
ID  - 10_4064_fm170_1_4
ER  - 
%0 Journal Article
%A Paweł M. Idziak
%A Matthew Valeriote
%T A property of the solvable radicalin finitely decidable varieties
%J Fundamenta Mathematicae
%D 2001
%P 69-86
%V 170
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-4/
%R 10.4064/fm170-1-4
%G en
%F 10_4064_fm170_1_4
Paweł M. Idziak; Matthew Valeriote. A property of the solvable radicalin finitely decidable varieties. Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 69-86. doi: 10.4064/fm170-1-4

Cité par Sources :