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中文摘要：
研究偏序集上的S-超连续性以及与其他广义连续性间的若干关系。利用提升和主理想S-超连续等概念给出了s-超连续性的几个等价刻画。证明了一个交半格是s-超连续的当且仅当它是主理想s-超连续的。构造了反例说明偏序集的S-超连续性与主理想S-超连续性互不蕴涵。
英文摘要：
Some properties of supercontinuity of posets and relations with other generalized continuities are given. The concept of principal ideal supercontinuity for posets is introduced. By lifts and principal ideals, some new characteriza- tions for supercontinuous posets are given. It is proved that the supercontinuity is equivalent to the principal ideal super- continuity on semilattices. Two counterexamples are constructed to show that the supercontinuity and the principal ideal supercontinuity on posets do not imply each other.
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