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模糊结合代数的商及同态定理

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由模糊结合代数的定义出发,利用模糊理想的概念,描述了模糊结合代数的商结构,进而结合模糊同态等概念,给出了相应的模糊同态定理,为讨论模糊结合代数的分类问题进行了有益的探索.
Quotients and Homomorphism Theorems of Fuzzy Associative Algebras
Based on the definitions of fuzzy associative algebras, this paper describes the quotient structures of fuzzy associative algebras by using the concepts of fuzzy ideals, and then brings up the corresponding fuzzy homomorphism theorem by combining the concepts of fuzzy homomorphisms, which is useful for discussing the classification of fuzzy associative algebras.

fuzzy associative algebrasfuzzy homomorphismsfuzzy idealsquotientshomomorphism theorem

杨晓曼、周鑫

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伊犁师范大学数学与统计学院,新疆 伊宁835000

伊犁师范大学应用数学研究所,新疆 伊宁835000

模糊结合代数 模糊同态 模糊理想 同态定理

新疆维吾尔自治区高等学校科研项目新疆伊犁州科技计划伊犁师范大学博士科研启动基金伊犁师范大学科研创新团队项目

XJEDU2021Y042YZ2022Y0102021YSBS011CXZK2021014

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(4)
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