SOME SMALL-SQUARING PROPERTIES FOR NEAR-RINGS

被引：0
|
作者：
Bell, Howard E. [1 ]
机构：
[1] Brock Univ, Dept Math & Stat, St Catharines, ON L2S 3A1, Canada
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2018年 / 40卷 / 05期
关键词：
small-squaring properties; Freiman near-rings;
D O I：
10.17654/NT040050745
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by a group-theoretic result of G. A. Freiman, we define a near-ring N to be a Freiman near-ring if for each 2-subset A of N, the cardinality of A(2) is at most 3. We study additive and multiplicative commutativity for various classes of Freiman near-rings.
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页码：745 / 755
页数：11
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