磨坊四重奏的和谐之歌

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-08-05 DOI:10.1007/s40840-024-01727-y

Hanzhou Lee, J. D. Phillips, Andrew Rajah

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引用次数: 0

摘要

牟方环的种类是由四个众所周知的（等价）等价性中的任意一个公理化的。我们利用四个 "局部 "公理，从四个 "全局 "公理之一（一个用于循环，另一个用于具有右逆或左逆性质的岩浆）中衍生出的四个 "局部 "公理，得到了（传统的）牟芳循环定义的两个替代的广义版本，从而证明这种公理上的和谐在更广泛的环境中是成立的。

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The Harmonious Song of a Moufang Quartet

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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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.