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环中的T-模糊准素理想

T-fuzzy primary ideals of a ring
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摘要 在环中引入T 模糊准素理想 ,T 模糊强 (弱 )准素理想及T 模糊理想的根理想的概念 ,研究了它们的主要性质及其关系 .得到 :每一个T 模糊准素理想是T 模糊弱准素理想 ,每一个T 模糊强准素理想是T 模糊准素理想 ,因而也是T The aim of this paper is to give definitions of the T fuzzy primary ideal,the T fuzzy strongly(weakly)primary ideal and the fuzzy radical of a T fuzzy ideal of a ring.Some properties and the relationship of these concepts are discussed.The following results are obtained:every T fuzzy primary ideal of a ring is T fuzzy weakly primary ideal,and every T fuzzy strongly primary ideal is T fuzzy primary ideal,furthermore T fuzzy weakly primary ideal.
作者 杨勇
出处 《西北师范大学学报(自然科学版)》 CAS 2002年第3期18-20,共3页 Journal of Northwest Normal University(Natural Science)
关键词 模糊代数 T-模糊准素理想 根理想 fuzzy algebra T fuzzy primary ideal radical ideal
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参考文献10

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