Locally Graded n-Bell Groups  

作　　者：Asadollah Faramarzi Salles 

机构地区：[1]Department of Mathematics and Computer Science Damghan University, Damghan, Iran

出　　处：《Algebra Colloquium》2016年第3期423-425,共3页代数集刊（英文版）

摘　　要：Let n ≠ 0, 1 be an integer and Bn be the variety of n-Bell groups defined by the law [ xn, y] [ x, yn ] ^-1= 1. Let Bn be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y such that [xn,y][x,yn]-1 = 1. In this paper we prove Bn ∩ L： = （Bn U F） M ∩L：, where F and L are the classes of all finite groups and all locally graded groups, respectively.Let n ≠ 0, 1 be an integer and Bn be the variety of n-Bell groups defined by the law [ xn, y] [ x, yn ] ^-1= 1. Let Bn be the class of groups in which for any infinite subsets X and Y there exist x ∈ X and y ∈ Y such that [xn,y][x,yn]-1 = 1. In this paper we prove Bn ∩ L： = （Bn U F） M ∩L：, where F and L are the classes of all finite groups and all locally graded groups, respectively.

关 键 词：n-Bell groups locally graded groups variety of groups 

分 类 号：O221.2[理学—运筹学与控制论] O189.1[理学—数学]