Vol. 45, No. 2, 1973

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The amalgamation property in equational classes of modular lattices

George Grätzer, Bjarni Jónsson and H. Lakser

Vol. 45 (1973), No. 2, 507–524

It is known that the class of all distributive lattices satisfies the Amalgamation Property. It will be shown that this is the only nontrivial equational class of modular lattices for which the Amalgamation Property holds. A second theorem gives further information about the Amalgamation Class of the class of all modular lattices, and of certain other equational classes.

Mathematical Subject Classification
Primary: 06A30
Received: 19 November 1971
Published: 1 April 1973
George Grätzer
Bjarni Jónsson
H. Lakser