Given two partially ordered sets (S, <=) and (T, [=) an order isomorphism from (S, <=) to (T, [=) is an isomorphism from S to T that preserves the order, that is, it is a bijection h : S -> T such that for all u and v in S it holds that : h(u) [= h(v) iff u <= v. |
Given two partially ordered sets (S, <=) and (T, [=) an order isomorphism from (S, <=) to (T, [=) is an isomorphism from S to T that preserves the order, that is, it is a bijection h : S -> T such that for all u and v in S it holds that : h(u) [= h(v) if and only if u <= v. |
If there is an order isomorhpism between two partially ordered sets then these sets are called [order isomorphic]?. |
If there is an order isomorphism between two partially ordered sets then these sets are called order isomorphic. |
If there is an order isomorphism between two partially ordered sets then these sets are called order isomorphic.