朱彬,王文举.带Morita对偶的偏序集环[J].数学研究及应用,1998,18(2):273~276 |
带Morita对偶的偏序集环 |
Poset Rings with Morita Duality |
投稿时间:1995-06-10 |
DOI:10.3770/j.issn:1000-341X.1998.02.024 |
中文关键词: 偏序集环 离散线性紧 Morita对偶 |
英文关键词:poset ring discret linear compact Morita duality. |
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中文摘要: |
设R是有1的结合环,I是任意偏序集,RI是R上I的偏序集环.本文考虑了带对偶的偏序集环,得到:RI带Morita对偶当且仅当R带Morita对偶.推广了已有的在R是有限偏序集时的有关结果 |
英文摘要: |
Let R be an associate ring with identity, I be a poset, RI be the poset ring of I over R . The following result is obtained: RI has Morita duality iff R has Morita duality. This extends the known result about the poset ring in the case I that is finite. |
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