| 自由正交模格FMOk(n)的自同构群 |
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| 引用本文： | 陈引兰. 自由正交模格FMOk(n)的自同构群[J]. 数学杂志, 2007, 27(5): 593-598 |
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| 作者姓名： | 陈引兰 |
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| 作者单位： | 湖北师范学院数学系,湖北,黄石,435002 |
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| 基金项目： | 云南省教育厅资助项目;湖北师范学院校科研和教改项目 |
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| 摘 要： | 文章先利用自同构映射保有限并的性质研究了一般正交模格的次直积的自同构群与自同构群的次直积的关系,再用块置换的方法研究了MOk的自同构群的生成元集,由此得到自由正交模格FMOk(n)的自同构群的直积分解式,从而完全解决了FMOk(n)的自同构群的结构问题.
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| 关 键 词： | 正交模格 自由正交模格 自同构群 |
| 文章编号： | 0255-7797（2007）05-0593-06 |
| 修稿时间： | 2005-01-132005-12-19 |
AUTOMORPHISM GROUPS OF FREE ORTHOMODULAR LATTICE FMOk (n) |
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| CHEN Yin-lan. AUTOMORPHISM GROUPS OF FREE ORTHOMODULAR LATTICE FMOk (n)[J]. Journal of Mathematics, 2007, 27(5): 593-598 |
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| Authors: | CHEN Yin-lan |
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| Affiliation: | Dept. of Math. , Hubei Normal University, Huangshi 435002, China |
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| Abstract: | In this paper, the automorphism groups of products of general orthomodular lattices and the products of the automorphism groups of general orthomodular lattices are been discussed by the property that automorphic mappings preserve join operation. The generatorset of automorphism groups of orthomodular lattices MOk are given by block permutation method, Then the direct product decomposition expression of AutFMOk(n) are obtained, thus the problem of the structures of AutFMOk(n) is solved completely. |
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| Keywords: | orthomodular lattice free orthomodular lattice automorphism group |
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