, Volume 46, Issue 3, pp 373-387

Congruence join semidistributivity is equivalent to a congruence identity

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We show that a locally finite variety is congruence join semidistributive if and only if it satisfies a congruence identity that is strong enough to force join semidistributivity in any lattice.

Received February 9, 2000; accepted in final form November 23, 2000.