Self-Rectangulating Varieties of Type 5
1997 ◽
Vol 07
(04)
◽
pp. 511-540
◽
Keyword(s):
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 congruence extension property.
1989 ◽
Vol 46
(2)
◽
pp. 177-183
◽
Keyword(s):
1972 ◽
Vol 6
(3)
◽
pp. 357-378
◽
2005 ◽
Vol 57
(3)
◽
pp. 297-307
◽
Keyword(s):
1978 ◽
Vol 26
(3)
◽
pp. 368-382
◽
1991 ◽
Vol 43
(4)
◽
pp. 748-769
◽