prime (order theory)
{{one source |date=May 2024}}
In mathematics, an element p of a partial order (P, ≤) is a meet prime element when p is the principal element of a principal prime ideal. Equivalently, if P is a lattice, p ≠ top, and for all a, b in P,
:a∧b ≤ p implies a ≤ p or b ≤ p.
See also
References
- {{citation
| last = Roman | first = Steven
| isbn = 978-0-387-78900-2
| location = New York
| mr = 2446182
| page = 50
| publisher = Springer
| title = Lattices and ordered sets
| url = https://books.google.com/books?id=NZN8aum26LgC&pg=PA50
| year = 2008}}.
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