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.

引用

页数：15

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