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关于可除剩余格的构造 被引量：2

A note on divisible residuated lattices
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摘要 对给定的可除剩余格L及a∈L,作者通过一个自然的构造使得主下集↓a={x∈L | x≤a}成为一个可除剩余格L_a.进一步有,如果L是预线性的或者广义MV-代数,则L_a亦是. Let L be a divisible residuated lattice. It is shown that for each a E L, there is a natural way to make the lattice {x∈L｜x≤a} into a divisible residuated lattice L.. Furthermore, if L is prelinear （a generalized MV-algebra） then so is La.
作者 蒲强 张德学
机构地区 四川大学数学学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第5期985-989,共5页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(11071174)
关键词 剩余格 可除 预线性 广义MV-代数 residuated lattice, divisible, prelinear, generalized MV-algebra
分类号 O153.5 [理学—基础数学]
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参考文献17

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共引文献1

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  • 2Yan P F. Hereditary covering properties and selec- tion theory [J]. Chinese Journal of Contemporary Mathematics, 2014, 35A(2):153.
  • 3Xie L H. The insertions of semicontinuous functionsand strafiable spaces[D]. Jiangmen.. Wuyi Univer- sity, 2010.
  • 4Yan P F, Yang E G. Semi-strtifiable spaces and the insertion of semi-continuous functions[J]. J Math Anal Appl, 2007, 328: 429.
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  • 6Good C, Knight R, Stares I. Monotone countable paracompactness [ J ]. Topology Appl, 2000, 101 : 281.
  • 7Wu L S. About k-semistratifiable spaces[J].苏州大学学报,1986,4:47.
  • 8Peng L X, Lin S. On monotone spaces and matriza- tion theorems [ J ]. Acta Math Sinica, 2003, 46: 1225.
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  • 10Borges C R. On stratifiable space[J]. Pacific Jour- nal of Mathematics, 1966, 17: 1.

引证文献2

四川大学学报（自然科学版）
2012年 第5期

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