On the laws of a metabelian variety
On the laws of a metabelian variety
复制标题
论元变簇的法则
DOI：
10.1016/0021-8693(67)90039-7
复制
发表时间：
1967
影响因子：
0.9
通讯作者：
D. Cohen
中科院分区：
文献类型：
--
作者：
D. Cohen
已知许多群的变种都有其定律的有限基（关于变种的定义和一般性质，见[6]-[8]）。在这些变种中，任何由有界类的幂零群组成的变种[4]和任何由有限群生成的变种[9]。不知道是否所有的变种都有其定律的有限基础。在本文中，我们证明了以下定理。
Many varieties of groups are known to have a finite basis for their laws (for the definition and general properties of varieties, see [6]-[8]). Among such varieties are any variety consisting of nilpotent groups of bounded class [4] and any variety generated by a finite group [9]. It is not known whether all varieties have a finite basis for their laws. In this paper we prove the following theorem.