| 量子代数H(-)函子的系数扩张 |
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| 引用本文： | 刘楚源.量子代数H(-)函子的系数扩张[J].哈尔滨理工大学学报,2011,16(2):87-89. |
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| 作者姓名： | 刘楚源 |
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| 作者单位： | 汕头职业技术学院,广东汕头,515078 |
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| 基金项目： | 汕头职业技术学院科研基金资助项目 |
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| 摘 要： | 令U为量子代数,则A(U)表示以A为基环的量子代数U的量子坐标代数.当基环A扩张为A代数Γ时,相应的A(U)变为ΓUr].本文主要指出从Γ-模范畴到Ur-模范畴的函子Hr(-)是正合共变的,同时,若Γ作为A-模是平坦的,则ΓUr]作为Γ-模是自由的.
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| 关 键 词： | 量子代数 诱导函子 系数扩张 量子坐标代数 |
The Coefficient Extention of Induction Functor H( - )over Quantum Algebras |
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| LIU Chu-yuan.The Coefficient Extention of Induction Functor H( - )over Quantum Algebras[J].Journal of Harbin University of Science and Technology,2011,16(2):87-89. |
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| Authors: | LIU Chu-yuan |
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| Affiliation: | LIU Chu-yuan (Shantou Polytechnic,Shantou 515078,China) |
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| Abstract: | Let U be a quantum algebra,and A（U） which takes A as the based ring be the quantum coordinate algebra of U.When the base ring A expands into A algebra Γ,we mark the corresponding A（U） to Γ.In this paper,the author points out that functor HΓ（-） from Γ-module categories to UΓ-module categories is exact and covariant.Also,Γ as a Γ-module is free,while if Γ as a A-module is flat. |
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| Keywords: | quantum algebra induction functor coefficient extention quantum coordinate algebra |
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