| 块有限生成的正交模格的自同构群 |
| |
| 引用本文： | 陈引兰.块有限生成的正交模格的自同构群[J].湖北民族学院学报(哲学社会科学版),2009,27(1). |
| |
| 作者姓名： | 陈引兰 |
| |
| 作者单位： | 湖北师范学院数学与统计学院,湖北,黄石,435002
|
| |
| 基金项目： | 云南省教育厅科学研究基金重点项目，湖北师范学院科研项目 |
| |
| 摘 要： | 介绍了一般格的直积的自同构群与自同构群的直积的关系,对块有限自同构群的结构进行了探讨.对于几个重要不可约块有限正交模格的自同构群,主要由自同构的性质得到其生成元集;对于非不可约块有限正交模格,由其直积分解式,结合自同构群的直积,给出了其自同构群的构造.
|
| 关 键 词： | 正交模格 自同构群 直积 |
Automorphism Groups of Block-finite Orthomodular Lattices |
| |
| CHEN Yin-lan.Automorphism Groups of Block-finite Orthomodular Lattices[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2009,27(1). |
| |
| Authors: | CHEN Yin-lan |
| |
| Institution: | School of Mathematics and Statistics;Hubei Normal University;Huangshi 435002;China |
| |
| Abstract: | In this paper,the automorphism groups of products of lattices and the products of the automorphism groups of lattices have been discussed,then the structures of automorphism groups of block-finite orthomodular lattices are given.By the properties of automorphisms,the generator sets of these important irreducible orthomodular lattices are got.For any non-irreducible block-finite orthomodular lattice,its automorphism group can be obtained by its decomposition of direct products and products of the automorphis... |
| |
| Keywords: | orthomodular lattice automorphism group direct products |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
