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Prime (order theory) : ウィキペディア英語版
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''.
==References==

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