LOOP RINGS SATISFYING IDENTITIES OF BOL-MOUFANG TYPE

被引：3
|
作者：
Dart, Bradley C. [1 ]
Goodaire, Edgar G. [1 ]
机构：
[1] Mem Univ Newfoundland, St John, NF A1C 5S7, Canada
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Bol-Moufang identity; loop ring; SRAR;
D O I：
10.1142/S0219498809003394
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of loop rings that are not associative but which satisfy the Moufang or Bol identities is well known. Here we complete work started 25 years ago by establishing the existence of loop rings that satisfy any identity of "Bol-Moufang" type (without being associative). As it turns out, with one exception, loop rings satisfying an identity of Bol Moufang type all satisfy a Moufang or Bol identity. We also highlight some similarities and differences in the consequences of several Bol-Moufang identities as they apply to loops and rings.
引用
收藏
页码：401 / 411
页数：11
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