摘要
设W是全根格的子格。本文证明了:(1) 如果W是原子根格,则R∈W是W的大根环类当且仅当R包含W的所有原子;(2) 如果W是完备格且是原子格,则W中的所有大根环类的交是大根环类且是W的所有原子的并。作为特例给出了遗传根格、半遗传根格、次幂等根格中的大根环类的刻划,同时还给出了超幂零根格是否原子根格的一个判别条件。
The article entitles Wa Sublattice of all radicals . and it proves that if W is an atomic lattice, then R is a large radical Classes in the W if and only if it contains all atoms of the W and vice versa. In the W ,the meet of all large radical Classes is the join of all atoms . As Corollaries, we give some Characteristics of the large members of lattices of hereditary. Semi-hereditary and Subidempotent radicals. In the paper,We also give an equiva-lent Condition When the lattice of supernilpotent radicals is an atomic lattice.
出处
《株洲工学院学报》
1995年第4期78-82,共5页
Journal of Zhuzhou Institute of Technology
关键词
单环
＊-环
根格
原子
大根
Simple ring * -ring Lattice of radicals Atom Large radical class
