Free products of abelian $l$-groups are cardinally indecomposable
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- by Wayne B. Powell and Constantine Tsinakis
- Proc. Amer. Math. Soc. 86 (1982), 385-390
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671199-6
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Abstract:
We show that a well-known theorem of Baer and Levi concerning the impossibility of simultaneous decomposition of a group into a free product and a direct sum has an analogue for abelian lattice ordered groups. Specifically we prove that an abelian lattice ordered group cannot be decomposed both into a free product and into a cardinal sum.References
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Bibliographic Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 385-390
- MSC: Primary 06F20; Secondary 08B25
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671199-6
- MathSciNet review: 671199