| 模代数扩张 |
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| 引用本文： | 陆仲坚. 模代数扩张[J]. 南京大学学报(自然科学版), 2011, 0(1): 79-87 |
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| 作者姓名： | 陆仲坚 |
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| 作者单位： | 绍兴文理学院数学系; |
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| 基金项目： | 浙江省自然科学基金资助项目(Y607075); 浙江省教育厅科研项目(Y200907995)资助 |
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| 摘 要： | 设H是Hopf代数,A是左H-模代数.设_AM_A是H-模范畴中的A-A-双模.本文讨论了模代数A的通过双模M的奇异扩张,模代数的扩张既是代数扩张又是模扩张.为此,我们构作了一个融合代数结构和H-模结构的复形C_H~*(A,M),并且证明模代数的奇异扩张的等价类之集与这个复形的2阶上同调群H_H~2(A,M)是一一对应的.
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| 关 键 词： | 模代数 奇异扩张 上同调群 |
EXTENSION OF MODULE ALGEBRAS |
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| Lu Zhongjian. EXTENSION OF MODULE ALGEBRAS[J]. Journal of Nanjing University: Nat Sci Ed, 2011, 0(1): 79-87 |
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| Authors: | Lu Zhongjian |
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| Affiliation: | Lu Zhongjian (Dept.of Math.,Shaoxing College of Arts and Sciences,312000,Shaoxing PRC) |
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| Abstract: | Let H be a Hopf algebra,and A a left H-module algebra.Let _aM_a be an A-A-bimodule in the category of H-modules.In this paper,we discuss the singular extensions of the module algebra A by the bimodule M.An extension of a module algebra is a combination of an algebra extension and a module extension.So,we construct a complex C_H~*(A,M)which depends on the algebra structure of A and the H-module structures and prove that the equivalence class of the singular extensions of the module algebra A by the bimodule ... |
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| Keywords: | module algebra singular extension cohomology group |
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