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试论几类弱连续偏序集的关系

Discuss the relation of several kinds of weakly continuous posets
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摘要 从数学的角度来看,domain理论主要以满足一定条件的偏序集以及它们之间的映射为研究时象。Domain理论研究的一个重要内容是尽可能地将domain理论推广到更一般的格序结构上去。对连续偏序集进行推广,我们得到了拟连续偏序集、广义完全分配偏序集、C-偏序集、拟C-偏序集这几类弱连续偏序集,它们之间的关系值得我们分析和归纳。 Seen from the mathematical angle,the research objects in domain theory main consists of posets satisfying certain conditions and morphisms between them.One of the important aspects of domain theory is to carry as much as possible of the theory of continuous domain to as general order structure as possible,We obtain several kinds of weakly continuous posets,such as quasicontinuous poset,generalized completely distributive posetposet,C-poset and quasi-C-poset,by generalizing continuous poset.Their relation is worth analysing and concluding.
作者 龚雅玲
机构地区 南昌教育学院
出处 《南昌教育学院学报》 2010年第5期64-65,共2页 Journal of Nanchang College of Education
关键词 偏序集 弱连续 DOMAIN posets weakly continuous domain
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参考文献2

  • 1P. Venugopalan. A generalization of completely distributive lattices[J] 1990,Algebra Universalis(4):578~586
  • 2P. Venugopalan. Quasicontinuous posets[J] 1990,Semigroup Forum(1):193~200

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