The amalgamation property in equational classes of modular lattices

George Grätzer, Bjarni Jónsson and H. Lakser

Vol. 45 (1973), No. 2, 507–524

DOI: 10.2140/pjm.1973.45.507

Abstract

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

Milestones

Received: 19 November 1971

Published: 1 April 1973