Local nearrings with dihedral multiplicative group

被引：20
|
作者：
Amberg, B [1 ]
Hubert, P
Sysak, Y
机构：
[1] Univ Mainz, Fachbereich Math, D-55099 Mainz, Germany
[2] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine
来源：
JOURNAL OF ALGEBRA | 2004年 / 273卷 / 02期
关键词：
local nearring; dihedral group; factorized group;
D O I：
10.1016/j.jalgebra.2003.10.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A not necessarily zero-symmetric nearring R with a unit element is called local if the set of all non-invertible elements of R forms a subgroup of the additive group of R. It is proved that every local nearring whose multiplicative group is dihedral is finite and its additive group is either a 3-group of order at most 9 or a 2-group of order at most 32. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：700 / 717
页数：18
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