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中文摘要：
引入了W-引代数偏序集与强W-代数偏序集的概念。讨论了W-代数偏序集、Exact偏序集以及代数偏序集的关系,证明了W-代数偏序集在保定向并的单的核算子下的像是W-代数偏序集。最后得到了每一点有最小局部基的弱Domain是强W-代数Domain,证明了弱Domain上的Scott连续映射保局部基当且仅当它保Weakly way below关系。
英文摘要：
The concepts ofW-algebraic poset and strong W-algebraic poset are introduced.The re-lationship among W-algebraic poset,Exact poset and algebraic poset is investigated.The image of a W-algebraic poset under an injective kernel operator preserving sups of directed sets is W-alge-braic poset.It is shown that it is a strong W-algebraic domain if every point of a weak domain has a minimum local basis.It is also shown that a Scott continuous mapping of a weak domain pre-serves local basis if and only if it preserves Weakly way below relation.
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