Partially Ordered Set

PPT Discrete Mathematics, Part III CSE 2353 Fall 2007 PowerPoint

Partially Ordered Set. Each of the following definitions are for a subset b of a partially ordered set a. (1) \( a \le a \) for all \( a \in s\).

PPT Discrete Mathematics, Part III CSE 2353 Fall 2007 PowerPoint
PPT Discrete Mathematics, Part III CSE 2353 Fall 2007 PowerPoint

(1) \( a \le a \) for all \( a \in s\). That is ) is a partially ordered set, or a poset. Each of the following definitions are for a subset b of a partially ordered set a. De nition (alternate) (strict) partial order. Web a partially ordered set (or poset) is a set taken together with a partial order on it. Web a partially ordered set is a set \( s \) with a relation \( \le \) on \( s \) satisfying:

Web a partially ordered set (or poset) is a set taken together with a partial order on it. De nition (alternate) (strict) partial order. Each of the following definitions are for a subset b of a partially ordered set a. Web a partially ordered set (or poset) is a set taken together with a partial order on it. (1) \( a \le a \) for all \( a \in s\). That is ) is a partially ordered set, or a poset. Web a partially ordered set is a set \( s \) with a relation \( \le \) on \( s \) satisfying: