有限生成自由代数FV(LK)(n)的自同构群

摘要

本文研究了自同构群AutLκ和AutFV(LK)(n)的结构问题.利用了正交模格及其自同构群的直积分解方法,获得了正交模格Lκ和自由代数FV(LK)(n)的自同构群的直积分解式.%In this paper,we study the structures of automorphism groups AutLκ and AutFVLκ (n).By using the direct products decomposition of orthomodular lattice and its automorphism group,we obtain the direct products decomposition of automorphism group of ortholattices Lκ (κ ≥ 2) and finitely generated free algebras FV(lκ)(n).