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# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## A property of the solvable radicalin finitely decidable varieties

### Tom 170 / 2001

Fundamenta Mathematicae 170 (2001), 69-86 MSC: Primary 03B25; Secondary 08B99. DOI: 10.4064/fm170-1-4

#### Streszczenie

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.

#### Autorzy

• Paweł M. IdziakComputer Science Department
Jagiellonian University
Nawojki 11
30-072 Krak/ow, Poland
e-mail
• Matthew ValerioteDepartment of Mathematics and Statistics
McMaster University
Hamilton, Ontario