International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 1, Pages 75-80
doi:10.1155/S0161171293000080
Strong amalgamations of lattice ordered groups and modules
Mona Cherri1
and Wayne B. Powell2
1Department of Mathematics and Computer Science, Texas Woman's University, Denton 76204, Texas, USA
2Department of Mathematics, Oklahoma State University, Stillwater 74078, Oklahoma, USA
Abstract
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.