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
收藏
页数：15
相关论文
共 50 条
  • [21] On a class of Moufang loops
    Loginov, EK
    Moldavanskii, DI
    ALGEBRA, 1996, : 161 - 164
  • [22] SIMPLE MOUFANG LOOPS
    DORO, S
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1978, 83 (MAY) : 377 - 392
  • [23] SMALLEST MOUFANG LOOP
    CHEIN, O
    PFLUGFEL.HO
    ARCHIV DER MATHEMATIK, 1971, 22 (06) : 573 - &
  • [24] MOUFANG MAGMAS WITH INVERSES
    Phillips, J. D.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (03)
  • [25] Continuous Moufang Transformations
    Eugen Paal
    Acta Applicandae Mathematica, 1998, 50 : 77 - 91
  • [26] Identities in Moufang sets
    De Medts, Tom
    Segev, Yoav
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 360 (11) : 5831 - 5852
  • [27] Continuous Moufang transformations
    Paal, E
    ACTA APPLICANDAE MATHEMATICAE, 1998, 50 (1-2) : 77 - 91
  • [28] Harmonious
    Dunam, Choi
    Jiyoung, Park
    SPACE, 2015, (571): : 84 - 89
  • [29] Odd Harmonious and Strongly Odd Harmonious Graphs
    Seoud, Mohamed Abdel-Azim
    Hafez, Hamdy Mohamed
    KYUNGPOOK MATHEMATICAL JOURNAL, 2018, 58 (04): : 747 - 759
  • [30] A harmonious
    Evans, Ian C.
    MER-MARINE ENGINEERS REVIEW, 2006, : 80 - 83
12345