partially ordered set


Also found in: Legal, Acronyms, Wikipedia.

partially ordered set

[′pär·shə·lē ¦ōr·dərd ′set]
(mathematics)
A set on which a partial order is defined. Also known as poset.

partially ordered set

References in periodicals archive ?
Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc.
BJORNER, Shellable and Cohen-Macaulay partially ordered sets, Trans.
WALKER, Homotopy type and Euler characteristic of partially ordered sets, European J.
Rodriguez-Lopez: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations, Order, 22(2005), 223-239.
Reurings: A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc.
We refer the reader to [18, Chapter 3] and [9,19] for background on partially ordered sets and the topology of simplicial complexes, respectively.
Sadarangani: Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Anal.
The existence of fixed point in partially ordered sets was investigated by Ran and Reurings [22] and then by Nieto and Lopez [19].

Full browser ?