Prime (order theory)

Prime (Order Theory)

Prime (order theory)

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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,
ab ≤ p implies a ≤ p or b ≤ p.





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