高环同态的模糊稳定性
Fuzzy Stability of Higher Ring Homomorphism
DOI: 10.12677/ORF.2023.134372, PDF,    国家自然科学基金支持
作者: 罗小淋：贵州大学数学与统计学院，贵州 贵阳；陈 琳*：常熟理工学院数学与统计学院，江苏 常熟
关键词: 模糊稳定；模糊连续；高环同态；Banach代数；Fuzzy Stability； Fuzzy Continuity； Higher Ring Homomorphism； Banach Algebra
摘要: 本论文我们主要采取不动点的方法，通过选取一个特殊的控制函数序列以及利用模糊赋范空间的一些性质来研究模糊Banach代数上一个近似高环同态是一个精确高环同态，从而证得高环同态的模糊稳定性。此外，根据模糊连续性的定义，我们还得到了关于高环同态的模糊连续性。
Abstract: In this paper, we mainly use the fixed point method to study that an approximate higher ring homomorphism in fuzzy Banach algebra is an exact higher ring homomorphism by selecting a special control function sequence and using some properties of fuzzy normed space, thus proving the fuzzy stability of higher ring homomorphisms. In addition, according to the definition of fuzzy continuity, we also get the fuzzy continuity about higher ring homomorphisms.
文章引用：罗小淋, 陈琳. 高环同态的模糊稳定性[J]. 运筹与模糊学, 2023, 13(4): 3699-3709. https://doi.org/10.12677/ORF.2023.134372

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