| 齐次可分辨的完全可约的线性变换代数的张量积 |
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| 引用本文： | 胡述安.齐次可分辨的完全可约的线性变换代数的张量积[J].数学研究及应用,1988,8(3):333-337. |
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| 作者姓名： | 胡述安 |
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| 作者单位： | 南京大学 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | Jacobson在〔1,ch6〕中,给出了如下定义:M为一加群,A是{M,+}的自同态环,则M可以看成是忠实右A-模。如M是完全可约的A-模,则称A为完全可约的自同态环;如A还是齐次的,即M的所有不可约A-子模均同构,则称A是齐次完全可约的自同态环;如完全可约自同态环A在M所定义的有限拓扑中是闭的,则称A是可分辨的完全可约自同态环。
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| 收稿时间： | 1986/2/12 0:00:00 |
Tensor Products of Homogeneous Distinguished Completely Reducible Algebras of Linear Transformations |
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| Hu Shuan.Tensor Products of Homogeneous Distinguished Completely Reducible Algebras of Linear Transformations[J].Journal of Mathematical Research with Applications,1988,8(3):333-337. |
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| Authors: | Hu Shuan |
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| Abstract: | Suppose K is a field, A, B are homogeneous distinguished completely red ucible algebras of linear transformations: acting in M and N, respectively. M M0 is an irreducible A-submodule of M, N0 is an irreducible B-submodule of N, R, S are the centralizers of M0 and N0. respectively. In this paper the author gave some necessary and sufficient conditions for that A(?)B is a distinguished completely reducible algebra of linear transformations acting in M(?)N. |
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