Mona Cherri, Wayne B. Powell, "Strong amalgamations of lattice ordered groups and modules", International Journal of Mathematics and Mathematical Sciences, vol. 16, Article ID 405126, 6 pages, 1993. https://doi.org/10.1155/S0161171293000080
Strong amalgamations of lattice ordered groups and modules
We show that every variety of representable lattice ordered groups fails the strong amalgamation property. The same result holds for the variety of -modules over an -ring. However, strong amalgamations do occur for abelian lattice ordered groups or -modules when the embeddings are convex.
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