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.
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 automorphism groups.
出处
《湖北民族学院学报（自然科学版）》
CAS
2009年第1期7-12,共6页
Journal of Hubei Minzu University(Natural Science Edition)
基金
云南省教育厅科学研究基金重点项目(06Z142A)
湖北师范学院科研项目(2006D12)
关键词
正交模格
自同构群
直积
orthomodular lattice
automorphism group
direct products
