Prime (order theory)

Prime (order theory)

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".


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