| 关于n-morphic环的一些研究 |
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| 引用本文： | 张丽婷. 关于n-morphic环的一些研究[J]. 杭州师范学院学报(自然科学版), 2009, 8(6): 419-425 |
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| 作者姓名： | 张丽婷 |
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| 作者单位： | 杭州师范大学,理学院,浙江,杭州,310036 |
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| 基金项目： | Supported in part by the National Natural Science Foundation of Zhejiang Province（No：Y6090404）, and supported in part by the Graduate Innovation Seed Project of Hangzhou Normal University. |
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| 摘 要： | 文章介绍了一类特殊的π-morphic环n-morphic环,即任意n-morphic环都是π-morphic环,但反之则不然.除讨论一些相关的性质外,还得到以下结果：1）在R的隅角环中,左n-morphic元的一些性质;2）构造了一些是n-morphic环但非（n-1）-morphic环的例子;3）考虑了上三角矩阵环的n-morphic性质,指出由Z2所形成的n阶上三角矩阵环不是m-morphic的,其中m〈n且m，n∈Z＋．
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| 关 键 词： | morphic环 π-morphic环 n-morphic环 n-正则环 |
Researches on n-Morphic Rings |
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| ZHANG Li-ting. Researches on n-Morphic Rings[J]. Journal of Hangzhou Teachers College(Natural Science), 2009, 8(6): 419-425 |
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| Authors: | ZHANG Li-ting |
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| Affiliation: | ZHANG Li-ting (College of Science, Hangzhou Normal University, Hangzhou 310036, China) |
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| Abstract: | This article introduces the,n-morphic rings.That is,every(left)n-morphic ring is a(left) π-morphic ring but conversely is not true.Several related results are also considered.1)Some characteristics of left n-morphic elements in the corner ring of R are obtained.2)Some examples of n-morphic but not(n-1)-morphic are constructed.3)It considers the characteristics of n-morphic over the upper triangular matrices rings,and shows that the n×n upper triangular matrices rings of Z_2 is not m-morphic where m is any positive integers less than n. |
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| Keywords: | morphie ring n-regular ring |
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