Free Lattices Generated by Partially Ordered Sets and Preserving Bounds
1964 ◽
Vol 16
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pp. 136-148
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Keyword(s):
A construction of the free lattice generated by a partially ordered set P and preserving every least upper bound (lub) and greatest lower bound (glb) of pairs of elements existing in P has been given by Dilworth (2, pp. 124-129) and, when P is finite, by Gluhov (5).The results presented here construct the free lattice FL generated by the partially ordered set P and preserving(1) the ordering of P(2) those lub's of a family of finite subsets of P which possess lub's in P
1979 ◽
Vol 27
(4)
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pp. 495-506
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Keyword(s):
2013 ◽
Vol 12
(04)
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pp. 1250184
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Keyword(s):
1976 ◽
Vol 28
(4)
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pp. 820-835
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Keyword(s):
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1991 ◽
Vol 43
(4)
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pp. 721-737
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Keyword(s):
2004 ◽
Vol 2004
(40)
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pp. 2145-2147