Self-Rectangulating Varieties of Type 5

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Self-Rectangulating Varieties of Type 5

We show that a locally finite variety which omits abelian types is self–rectangulating if and only if it has a compatible semilattice term operation. Such varieties must have type–set {5 }. These varieties are residually small and, when they are finitely generated, they have definable principal congruences. We show that idempotent varieties with a compatible semilattice term operation have the ...

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ar X iv : m at h / 96 07 22 9 v 1 [ m at h . R A ] 1 J ul 1 99 6 Self – Rectangulating Varieties of Type 5

We show that a locally finite variety which omits abelian types is self–rectangulating if and only if it has a compatible semilattice term operation. Such varieties must have type–set {5 }. These varieties are residually small and, when they are finitely generated, they have definable principal congruences. We show that idempotent varieties with a compatible semilattice term operation have the ...

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ژورنال

عنوان ژورنال: International Journal of Algebra and Computation

سال: 1997

ISSN: 0218-1967,1793-6500

DOI: 10.1142/s021819679700023x