| 余代数和Morita-Takeuchi关系 |
| |
| 引用本文： | 李金其,王顶国. 余代数和Morita-Takeuchi关系[J]. 数学学报, 1998, 41(3): 569-576. DOI: cnki:ISSN:0583-1431.0.1998-03-020 |
| |
| 作者姓名： | 李金其 王顶国 |
| |
| 作者单位： | 浙江师范大学数学系(李金其)，曲阜师范大学数学和计算科学系(王顶国) |
| |
| 摘 要： | 本文证明了若余代数Ｃ和Ｄ是Ｍｏｒｉｔａ Ｔａｋｅｕｃｈｉ等价的，则Ｃ的子余代数格和Ｄ的子余代数格同构．设ＭΓ，ＮΓ是拟有限右Γ 余模，则（ｈ－Γ（Ｍ，Ｍ），ｈ－Γ（Ｎ，Ｎ）；ｈ－Γ（Ｎ，Ｍ），ｈ－Γ（Ｍ，Ｎ）；ｆ，ｇ）有Ｍｏｒｉｔａ Ｔａｋｅｕｃｈｉ关系．并给出了此Ｍ Ｔ关系是Ｍ Ｔ等价条件的及由已知的Ｍ Ｔ关系构造新的Ｍ Ｔ关系的方法．
|
| 关 键 词： | M-T关系，拟有限余模，余张量积 |
| 收稿时间： | 1996-03-25 |
Coalgebras and Morita Takeuchi Context |
| |
| Li Jinqi. Coalgebras and Morita Takeuchi Context[J]. Acta Mathematica Sinica, 1998, 41(3): 569-576. DOI: cnki:ISSN:0583-1431.0.1998-03-020 |
| |
| Authors: | Li Jinqi |
| |
| Affiliation: | Li Jinqi (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China) Wang Dingguo (Department of Mathematics and Computer Sciences, Qufu Normal University, Qufu 273165, China) |
| |
| Abstract: | Tet C, D be coalgebras. This paper show that if C and D are Morita Takeuchi equivalence then the lattice of subcoalgebras of C is isomorphism the lattice of subcoalgebras of D. If the right Γ comodules M Γ , N Γ are quasi finite, then (h - Γ (M,M),h - Γ (N,N);h - Γ (N,M), h - Γ (M,N); f,g) is a Morita Takeuchi context. We give some conditions making the M T context is equivalence. Finally, we give a method to construct M T context from a M T context. |
| |
| Keywords: | Morita Takeuchi context Quasi finite comodule Cotensor |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
|
