| 三角矩阵余代数上的有限Gorenstein余表现余模 |
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| 引用本文： | 郭春娜,姚海楼. 三角矩阵余代数上的有限Gorenstein余表现余模[J]. 山东大学学报(理学版), 2023, 58(2): 88-92. DOI: 10.6040/j.issn.1671-9352.0.2021.683 |
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| 作者姓名： | 郭春娜 姚海楼 |
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| 作者单位： | 北京工业大学理学部数学学院, 北京 100124 |
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| 基金项目： | 国家自然科学基金资助项目(12071120) |
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| 摘 要： | 利用范畴的等价定理和范畴之间的正合函子,给出了三角矩阵余代数Γ=(T TMU0 U)上的有限Gorenstein余表现余模的具体形式,并且得到三角矩阵余代数Γ与余代数T及U之间的有限Gorenstein余表现维数的关系Max{G.cp.dimT,G.cp.dimU}≤G.cp.dimΓ≤G.cp.dimT+G.cp.dimU+1。
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| 关 键 词： | 三角矩阵余代数 有限Gorenstein余表现余模 有限Gorenstein余表现维数 |
Finitely Gorenstein copresented comodules over triangular matrix coalgebras |
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| GUO Chun-na,YAO Hai-lou. Finitely Gorenstein copresented comodules over triangular matrix coalgebras[J]. Journal of Shandong University, 2023, 58(2): 88-92. DOI: 10.6040/j.issn.1671-9352.0.2021.683 |
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| Authors: | GUO Chun-na YAO Hai-lou |
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| Affiliation: | Department of Science, College of Mathematics, Bejing University of Technology, Bejing 100124, China |
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| Abstract: | The specific form of the finitely Gorenstein copresented comodule over a triangular matrix coalgebra Γ=(T TMU0 U)is given by the equivalence theorem of categories and the exact functors between categories, and a relationship between the finitely Gorenstein copresented dimensions of the triangular matrix coalgebra Γ and coalgebras T and U is obtained as follows Max{G.cp.dimT,G.cp.dimU}≤G.cp.dimΓ≤G.cp.diimT+G.cp.dimU+1. |
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| Keywords: | triangular matrix coalgebra finitely Gorenstein copresented comodule finitely Gorenstein co-presented dimension |
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