| 关于代数模与代数的扩张的注记 |
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| 摘 要： | 由可知,从已知代数模的扩张U出发,便可得一广义导子f。反之,利用这个广义导子f,我们也可构造出一个代数模的扩张U＇。本文证明了这两个代数模U与U＇是同构的。并给出了由因子系构造代数的扩张的一个方法。
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| 关 键 词： | 代数 代数的扩张 广义导子 因子系 同构 |
Notes on Extension of Algebras and Algebra-Modules |
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| Authors: | Jiang Jiuliang |
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| Institution: | Math. Dept. Chongqing Teachers'College |
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| Abstract: | By1],from an extension U of algebra-module,We may get a generalized derivation f. conversely,we use this generalized derivation f,to may construct a extension U' of algebra-module. In this present paper,the author proves that U and U' are isomorphic;Finally the author gives a methed by factor system construction the extension of algebras. |
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| Keywords: | algebra extension of algebras generalized derivation factor sgstem splitting factor system isomorphism |
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