模糊Riesz空间上模糊Riesz同态性质的研究
The Properties of Fuzzy Riesz Homomorphism on Fuzzy Riesz Space
摘要: 本文首先讨论了模糊Riesz空间上模糊Riesz同态保持的一些性质，如：模糊Riesz子空间，模糊理想，模糊投影带等等。其次，给出了模糊Riesz同态的等价刻画。最后，讨论了模糊Riesz同态下相对模糊一致收敛的一些性质。
Abstract: In this paper, we first discuss some properties of fuzzy Riesz homomorphism preservation on fuzzy Riesz space, such as fuzzy Riesz subspace, fuzzy ideal, fuzzy projection band and so on. Secondly, the equivalent characterization of fuzzy Riesz homomorphism is given. Finally, some properties of relative fuzzy uniform convergence under fuzzy Riesz homomorphism are discussed.
文章引用：刘宵, 程娜. 模糊Riesz空间上模糊Riesz同态性质的研究[J]. 理论数学, 2021, 11(11): 1781-1787. https://doi.org/10.12677/PM.2021.1111201

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