Subuppersemilattice
Definition, Meaning & Examples
Part of speech noun
Quick meaning: Subuppersemilattice is a noun meaning (mathematics) A sub-semilattice of an uppersemilattice.
Meaning
(mathematics) A sub-semilattice of an uppersemilattice.
Example Sentences
First, given any finite subuppersemilattice U ot 3[0,0'] with top element 0' and an isomorphism type V of a poset extending U consistently with its structure as an usl such that V and U have the same top element and V is an end extension of .
This is achieved by using Kumabe-Slaman forcing - along with other known results - to show that given finite uppersemilattices #92;mathcal#123;M#125; and #92;mathcal#123;N#125;, where #92;mathcal#123;M#125; is a subuppersemilattice of #92;mathcal#123;N#125;, then for both degree structures, every embedding of #92;mathcal#123;M#125; into the structure extends to one of #92;mathcal#123;N#125; iff #92;mathcal#123;N#125; is an end-extension of #92;mathcal#123;M#125;.
Word Forms
- subuppersemilattices
Related Words
Related dictionary entries include uppersemilattice, sublattice, semilattice, subsemigroup, subsemiring, subhypergroup.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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