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On linearly ordered H-closed topological semilattices

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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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Correspondence to Oleg Gutik.

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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

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