摘要
从半群理论的观点出发,证明了群的同余格与它的正规子群格是完备格同构的。
In this paper,
from the point of view of semigroup theory, author proves that the congruence lattice of a group is
completely lattice isomorphic with the lattice of its normal subgroups. This rusult strengthens well
known traditionary result about these two lattices.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1999年第4期408-410,共3页
Journal of Sichuan Normal University(Natural Science)
关键词
半群
正规子群
同余
完备格
群
同系格
Semigroup
Normal subgroup
Congruence
Complete lattice
Complete lattice isomorphism