Abstract
We give a criterion for a linearly ordered topological semilattice to be H-closed. We also prove that any linearly ordered H-closed topological semilattice is absolutely H-closed and we show that every linearly ordered semilattice is a dense subsemilattice of an H-closed topological semilattice.
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Communicated by Jimmie D. Lawson.
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Gutik, O., Repovš, D. On linearly ordered H-closed topological semilattices. Semigroup Forum 77, 474–481 (2008). https://doi.org/10.1007/s00233-008-9102-4
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DOI: https://doi.org/10.1007/s00233-008-9102-4