A lattice is a poset P any two of whose elements have a glb or "meet" denoted by x A y, and a lub or "join Lattice Theory - Page 6by Garrett Birkhoff - 1967 - 418 pagesLimited preview - About this book
| André Jones, Arnold Kaufmann, Hans-Jürgen Zimmermann - Mathematics - 1986 - 403 pages
...only needed for the "sup" to be defined and it is not needed in the finite case (it is recalled that **a lattice L is complete when each of its subsets X has a** least upper bound, denoted by sup X, and a greatest lower bound, denoted by inf X, in L). Recall also... | |
| Alvin E. Roth, Marilda A. Oliveira Sotomayor - Business & Economics - 1992 - 265 pages
...set L any two of whose elements x andy have a "sup", denoted by x Vy and an "inf", denoted by xt\y. **A lattice L is complete when each of its subsets X has a** "sup" and an "inf" in L. Hence, any nonempty complete lattice L has a least element x and a greatest... | |
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