On ideals of a semilattice
Mario Petrich (1972)
Czechoslovak Mathematical Journal
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Mario Petrich (1972)
Czechoslovak Mathematical Journal
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Jan Paseka (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Thomas Bowman (1975)
Czechoslovak Mathematical Journal
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Murty, P.V.Ramana, Murty, M.Krishna (1982)
International Journal of Mathematics and Mathematical Sciences
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George Grätzer, Friedrich Wehrung (1999)
Colloquium Mathematicae
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Pedro V. Silva (2000)
Discussiones Mathematicae - General Algebra and Applications
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The class of unique factorization semilattices (UFSs) contains important examples of semilattices such as free semilattices and the semilattices of idempotents of free inverse monoids. Their structural properties allow an efficient study, among other things, of their principal ideals. A general construction of UFSs from arbitrary posets is presented and some categorical properties are derived. The problem of embedding arbitrary semilattices into UFSs is considered and complete characterizations...