| 软正合序列的若干性质 |
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| 引用本文： | 吴越,马晶.软正合序列的若干性质[J].吉林大学学报(理学版),2019,57(6):1287-1291. |
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| 作者姓名： | 吴越 马晶 |
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| 作者单位： | 吉林大学数学学院,长春,130012 |
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| 基金项目： | 国家自然科学基金;国家自然科学基金 |
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| 摘 要： | 利用模论和软模的基本性质讨论软同态的分解性质. 首先， 定义单的软模同态和软模序列的正合; 其次， 证明软同态都可以分解为一个满的软同态和一个单的软同态的复合; 最后讨论软正合序列的基本性质, 给出几类简单的软模序列正合的等价条件, 并利用两个软正合序列构造一个新的软正合序列.
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| 关 键 词： | 软模 软同态 软正合序列 |
| 收稿时间： | 2019-04-08 |
Properties of Soft Exact Sequences |
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| WU Yue,MA Jing.Properties of Soft Exact Sequences[J].Journal of Jilin University: Sci Ed,2019,57(6):1287-1291. |
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| Authors: | WU Yue MA Jing |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | By using module theory and the basic properties of soft modules, we discussed the decomposition properties of soft homomorphism. Firstly, we defined a single soft homomorphism of soft modules and soft exact sequence. Secondly,
we proved that every soft homomorphism could be decomposed into the composition of an epimorphism and a monomorphism. Finally, we discussed the basic properties of soft exact sequences, and gave equivalent conditions
for several kinds of simple soft modulus sequence to be exact, and constructed a new soft exact sequence by using two soft exact sequences. |
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| Keywords: | soft module soft homomorphism soft exact sequence |
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