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Title: | Morita contexts 環的性質 Ring properties of Morita contexts |
Authors: | Chih-Whi Chen 陳志瑋 |
Advisor: | 李秋坤 |
Keyword: | Morita contexts,素環,多項式恆等式,廣義多項式恆等式,多項式階數,經典Morita contexts, Morita contexts,prime ring,polynomial identity,generalized polynomial identity,polynomial degree,classical Morita contexts, |
Publication Year : | 2010 |
Degree: | 碩士 |
Abstract: | 在本篇論文中,我們延伸 Amitzur 對於 Morita contexts 的研究 [1]。並不假設 Morita contexts 有一致忠實的非奇異左理想,在本文章中我們給出了Morita contexts 是素環的充分必要,並且計算了中心。更進一步地,我們個別刻劃了滿足多項式恆等式與廣義多項式恆等式的Morita contexts,並且計算了多項式階數。我們在文中也給出了在經典Morita contexts 環上的應用。 In this thesis, we continue the study of Morita context in [1]. Without assumption that the Morita contexts has uniformly faithful, non-singular left ideal, here we give the necessary and sufficient condition of the prime Morita contexts, and compute its center.Furthermore, we characterize the Morita contexts to be a polynomial identity ring and generalized polynomial identity ring respectively, and compute its polynomial degree. We also give some applications on classical Morita context. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22628 |
Fulltext Rights: | 未授權 |
Appears in Collections: | 數學系 |
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