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Topic: Join-semilattice


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In the News (Tue 29 Dec 09)

  
 Semilattice
Semilattices provide a generalization of the more prominent concept of a lattice and as such provide a natural way to introduce this concept as apartial order which is both a meet- and a join-semilattice.
In mathematical order theory, a semilattice is a partially ordered set (poset) within which all binarysets have a supremum (join) or infimum (meet), respectively.
Indeed, a complete meet-semilattice has all non-empty meets (which is equivalent to being boundedcomplete) and all directed joins.
www.therfcc.org /semilattice-84901.html

  
 Semilattice - Wikipedia, the free encyclopedia
Semilattices provide a generalization of the more prominent concept of a lattice and as such provide a natural way to introduce this concept as a partial order which is both a meet- and a join-semilattice.
In mathematical order theory, a semilattice is a partially ordered set (poset) within which either all binary sets have a supremum (join) or all binary sets have an infimum (meet).
This gives rise to a number of useful categorical dualities between the categories of all complete semilattices with morphisms preserving all meets or joins, respectively.
en.wikipedia.org /wiki/Semilattice   (1519 words)

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