Prime (order theory)

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Prime" order theory – news · newspapers · books · scholar · JSTOR (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.

• Join and meet

• Roman, Steven (2008), Lattices and ordered sets, New York: Springer, p. 50, ISBN 978-0-387-78900-2, MR 2446182.

This algebra-related article is a stub. You can help Wik.ipedia.Pro by expanding it.

• v
• t