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| 摘要: |
| 本文研究了阿贝尔hom-李环扩张的自同构.利用阿贝尔扩张及中心扩张构造了三个正合序列，这些序列与群扩张的Wells序列相类似.利用这三个正合序列建立了自同构与群上同调之间的联系.其次研究了正合序列可分裂的条件.最后对我们的构造进行了相关应用. |
| 关键词: hom-李环 二阶上同调群 扩张 正合序列 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:国家自然科学基金资助（11501274）；辽宁省教育厅基金资助（L2015203）. |
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| AUTOMORPHISMS OF ABELIAN HOM-LIE RING EXTENSION |
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XU Xiao-ning,LAI Yan
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| Abstract: |
| In this paper, the automorphisms of abelian hom -Lie ring extension are studied. Taking advantage of abelian extension and central extension, three exact sequences are contructed. The sequences were similar to Wells exact sequence for group extensions. The automorphisms are associated with group cohomology by using the three exact sequences. Then the conditions of the exact sequences splitting are discussed. Finally an application of our construction is given. |
| Key words: hom -Lie rings second cohomology group extension exact sequence |
