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Meta-sided Exchange环的性质及扩张 被引量:1

Discussion on the Extensions of Meta-sided Exchange Rings
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摘要 陈焕艮对exchange环做了推广,提出了meta-sided exchange环的概念.本文在概念的基础上,利用ex-change环的性质,研究meta-sided exchange环的一些重要性质及其扩张,得到一些与exchange环类似的结论,同时发现meta-sided exchange并没有上述exchange环的对称结构,并对meta-sided exchange环进行了比深入的刻画. Huanyin Chen studies exchange rings deeply and defines meta-sided exchange rings. In this paper we follow his definition and deal with some important properties of meta-sided exchange tings analogous to the properties of exchange tings. But we also find that meta-sided exchange rings do not have the symmetric properties of exchange tings. Then we give several deeper characterizations of meta-sided exchange rings.
作者 唐再良 张清
出处 《吉林师范大学学报(自然科学版)》 2008年第2期34-36,共3页 Journal of Jilin Normal University:Natural Science Edition
基金 四川省教育厅重点科研项目(2006A141)
关键词 EXCHANGE环 meta-sided EXCHANGE环 exchange rings meta-sided exchange rings
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  • 1R. B. Warfield. Exchange rings and decompositions of modules[J] 1972,Mathematische Annalen(1):31~36

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