| Meta-sided exchange环及其扩张 |
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| 引用本文： | 郭莉琴,何建伟,卲海琴.Meta-sided exchange环及其扩张[J].四川理工学院学报(自然科学版),2010,23(5). |
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| 作者姓名： | 郭莉琴 何建伟 卲海琴 |
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| 基金项目： | 天水师范学院中青年教师科研资助项目 |
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| 摘 要： | 讨论了meta-sided exchange环的性质。证明了如果R是Abelian meta-sided exchange环,则对R的任意素理想P,都有R/P是局部环;如果R是Abelian环,(S,≤)是严格序幺半群且对任意s∈S,都有0≤s,则广义幂级数环RS,≤]]是meta-sided exchange环当且仅当R是meta-si-ded exchange环。
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| 关 键 词： | exchange环 meta-sidedexchange环 局部环 广义幂级数环 |
Meta-sided Exchange Rings and Their Extensions |
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| GUO Li-qin,HE Jian-wei,SHAO Hai-qin.Meta-sided Exchange Rings and Their Extensions[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2010,23(5). |
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| Authors: | GUO Li-qin HE Jian-wei SHAO Hai-qin |
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| Abstract: | Some properties of meta-sided exchange rings are discussed in this paper.It is shown that if R be a meta-sided exchange ring with all idempotents central,.R/P is local ring for any prime ideal PofR.And it also proved that let R be an Abelian ring and(S,≤) a strictly ordered monoid satisfying the condition that 0≤s for every s∈S,then generalized power series ring ] is meta-sided exchange ring only if R is meta-sided exchange ring. |
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| Keywords: | exchange ring meta-sided exchange ring local ring generalized power series ring |
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