| T(2,2,2,2)型tubular代数的合成代数 |
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| 引用本文： | 陈正新.T(2,2,2,2)型tubular代数的合成代数[J].数学学报,2006,49(4):883-892. |
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| 作者姓名： | 陈正新 |
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| 作者单位： | 福建师范大学数学与计算机科学学院 福州 |
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| 基金项目： | 国家自然科学基金项目（10371101）致谢;感谢审稿人的有益建议,感谢导师林亚南教授的悉心指导. |
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| 摘 要： | 设A为有限域上的T(2,2,2,2)型tubular代数,它是tame遗传代数A0的单点扩张,也是tame遗传代数A∞的单点余扩张．记P0为预投射A0-模集合,L∞是预内射A∞-模集合,则P0,L∞(?)mod A记T=mod A＼(P0∪L∞)．本文证明A的合成代数C(A)具有形为P0·J·L∞的三角分解．
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| 关 键 词： | T(2 2 2 2)型tubular代数 合成代数 三角分解 |
| 文章编号： | 0583-1431（2006）04-0883-10 |
| 收稿时间： | 2004-11-25 |
| 修稿时间： | 2004-11-252005-03-08 |
Composition Algebras of Tubular Algebras of Type T(2,2,2,2) |
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| Zheng Xin CHEN The School of Mathematics and Computer Science,Pujian Normal University,Fuzhou ,P. R. China The School of Mathematical Sciences,Xiamen University,Xiamen ,P. R. China.Composition Algebras of Tubular Algebras of Type T(2,2,2,2)[J].Acta Mathematica Sinica,2006,49(4):883-892. |
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| Authors: | Zheng Xin CHEN The School of Mathematics and Computer Science Pujian Normal University Fuzhou P R China The School of Mathematical Sciences Xiamen University Xiamen P R China |
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| Institution: | Zheng Xin CHEN The School of Mathematics and Computer Science, Pujian Normal University, Fuzhou 350007, P. R. China The School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China |
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| Abstract: | Let A be a tubular algebra of type T(2,2,2,2) over a finite field k. It is the one-point extension of a tame hereditary algebra A0 and also the one-point coextension of a tame hereditary algebra A∞. Let P0 be the set of preprojective A0-modules and =L∞be the set of preinjective A∞-modules. Then we have P0,L∞(?)mod A. We denote T=mod A4\(P0∪L∞). In this paper, we get a triangular decomposition structure P0·J·L∞for the composition algebra C(A) of A. |
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| Keywords: | tubular algebras of type T(2 2 2 2) composition algebras triangular decomposition |
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