τ-Complexity and Tilting Modules
Let A be a finite dimensional algebra over an algebraic closed field k. In this note, we will show that if T is a separating and splitting tilting A-module, then τ-complexities of A and B are equal, where B=EndA(T).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/5181730 |
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Article |
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doaj-725fa7277cf440b38cc4e2c75c5713782021-07-02T04:18:18ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/51817305181730τ-Complexity and Tilting ModulesLijing Zheng0Chonghui Huang1Qianhong Wan2School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, ChinaSchool of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, ChinaSchool of Mathematics and Statistics, Hunan University of Commerce, Changsha, Hunan 410205, ChinaLet A be a finite dimensional algebra over an algebraic closed field k. In this note, we will show that if T is a separating and splitting tilting A-module, then τ-complexities of A and B are equal, where B=EndA(T).http://dx.doi.org/10.1155/2016/5181730 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lijing Zheng Chonghui Huang Qianhong Wan |
| spellingShingle |
Lijing Zheng Chonghui Huang Qianhong Wan τ-Complexity and Tilting Modules Advances in Mathematical Physics |
| author_facet |
Lijing Zheng Chonghui Huang Qianhong Wan |
| author_sort |
Lijing Zheng |
| title |
τ-Complexity and Tilting Modules |
| title_short |
τ-Complexity and Tilting Modules |
| title_full |
τ-Complexity and Tilting Modules |
| title_fullStr |
τ-Complexity and Tilting Modules |
| title_full_unstemmed |
τ-Complexity and Tilting Modules |
| title_sort |
τ-complexity and tilting modules |
| publisher |
Hindawi Limited |
| series |
Advances in Mathematical Physics |
| issn |
1687-9120 1687-9139 |
| publishDate |
2016-01-01 |
| description |
Let A be a finite dimensional algebra over an algebraic closed field k. In this note, we will show that if T is a separating and splitting tilting A-module, then τ-complexities of A and B are equal, where B=EndA(T). |
| url |
http://dx.doi.org/10.1155/2016/5181730 |
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AT lijingzheng tcomplexityandtiltingmodules AT chonghuihuang tcomplexityandtiltingmodules AT qianhongwan tcomplexityandtiltingmodules |
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