Geodesic
A property of the solvable radicalin finitely decidable varieties
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
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

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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 
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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

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