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-  2016 

Topos中完备偏序对象上的算子理论
The operator theory on complete partially ordered objects in a topos

DOI: 10.6040/j.issn.1671-9352.0.2015.481

Keywords: 核算子,投射算子,完备偏序对象,闭包算子,偏序对象,
partially ordered object
,projective operator,complete partially ordered object,closure operator,kernel operator

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Abstract:

摘要: 研究了完备偏序对象间的投射算子, 给出了闭包算子和核算子的等价刻画, 将一些格论中的经典结论推广到了topos中。
Abstract: The concept of the projective operators between complete partially ordered objects in a topos is investigated. The characterizations of the closure operator and the kernel operator in a topos are given, which are common generalizations of the classical lattice theory

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