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One example of a poset consists of an integer and all its positive divisors (excluding 1). For instance, the positive divisors of 42 are 2, 3, 6, 7, 14, and 21.
Marco Fattore, HASSE DIAGRAMS, POSET THEORY AND FUZZY POVERTY MEASURES, Rivista Internazionale di Scienze Sociali, Anno 116, No. 1 (Gennaio-Marzo 2008), pp. 63-75 ...
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