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 f-modules over an f-ring. However, strong amalgamations do occur for abelian lattice ordered groups or f-modules when the embeddings are convex.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000080 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |