The Harmonious Song of a Moufang Quartet

被引：0
|
作者：
Lee, Hanzhou [1 ]
Phillips, J. D. [2 ]
Rajah, Andrew [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
[2] Northern Michigan Univ, Dept Math & Comp Sci, Marquette, MI 49855 USA
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2024年 / 47卷 / 05期
关键词：
Magma; Loop; Moufang; LOOPS;
D O I：
10.1007/s40840-024-01727-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The variety of Moufang loops is axiomatized by any one of four well known (equivalent) identities. We prove that this axiomatic harmony holds in a broader setting by obtaining two alternate, generalized versions of the (traditional) definition of a Moufang loop using four "local" identities, each derived from one of the four "global" Moufang identities, one for loops, the other for magmas with the right or left inverse property.
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页数：15
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