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International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 1, Pages 75-80

Strong amalgamations of lattice ordered groups and modules

1Department of Mathematics and Computer Science, Texas Woman's University, Denton, Texas 76204, USA
2Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078, USA

Received 25 September 1990; Revised 21 January 1992

Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We show that every variety of representable lattice ordered groups fails the strong amalgamation property. The same result holds for the variety of f-modules over an f-ring. However, strong amalgamations do occur for abelian lattice ordered groups or f-modules when the embeddings are convex.