Abstract
Complete lattices are studied which contain an element u which is not the join of a finite set of smaller elements, but is the join of all elements <u.
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References
George M.Bergman and FredGalvin (1987) Transversals of families in complete lattices, and torsion in product modules, Order 3, 391–403.
Kenneth R.Goodearl and BirgeZimmermann-Huisgen (1986) Boundedness of direct products of torsion modules, J. Pure & Applied Algebra 39, 251–273.
BirgeZimmermann-Huisgen (1988) Transversally bounded lattices, Order 5, 187–207.
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Communicated by B. Jónsson
This work was done while the first author was partly supported by NSF contract DMS 85-02330; during the completion of the article the second author was partly supported by NSF grant DMS 88-07043.
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Bergman, G.M., Zimmermann-Huisgen, B. Infinite joins that are finitely join-irreducible. Order 7, 27–40 (1990). https://doi.org/10.1007/BF00383171
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DOI: https://doi.org/10.1007/BF00383171