Ideal determined varieties need not be congruence 3-permutable (Q1319060)
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scientific article; zbMATH DE number 549253
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ideal determined varieties need not be congruence 3-permutable |
scientific article; zbMATH DE number 549253 |
Statements
Ideal determined varieties need not be congruence 3-permutable (English)
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5 January 1995
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\textit{H. P. Gumm} and \textit{A. Ursini} [ibid. 19, 45-54 (1984; Zbl 0547.08001)] proved that every ideal determined variety is congruence \(n\)- permutable for some \(n\geq 2\), and it is asked if all such varieties are even congruence 3-permutable. Now the (ideal determined) variety of all lower BCK-semilattices is congruence 4-permutable but not 3-permutable.
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variety of lower BCK-semilattices
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ideal determined variety
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congruence \(n\)-permutable
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