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Quantale模核映射与余核映射的关系

The Relationship between Nuclei and Conuclei on Quantale Modules
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摘要 研究左Q-模余核映射的相关性质,给出左Q-模上一个映射是余核映射的等式刻画;讨论Dual双模,Girard双模与对合左Q-模的关系,并分别给出它们的等价刻画;证明任意双Q-模都可嵌入到Girard双模,并且Girard双模上的核映射与余核映射是一一对应关系。 In this paper, some properties of conuclei characterization for a map to be a conucleus is given. on left Q-module are investigated and the equality The relatioaships between Dual bimodule, Girard bimodule and left involutive Q-module are discussed and their equivalent characterizations are given respectively, It is proved that every bimodule can be embedding into a Girard bimodule, and nuclei and conuclei on Girard bimodule are in one-to-one correspondence.
作者 陈晓婷 赵彬
出处 《模糊系统与数学》 CSCD 北大核心 2013年第6期65-72,共8页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(11171196 10871121)
关键词 QUANTALE 左Q-模 核映射 余核映射 Quantale Left Q-module Nucleus Conucleus
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