Premium
Homomorphisms of Non‐Associative Systems
Author(s) -
Evans T.
Publication year - 1949
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-24.4.254
Subject(s) - associative property , citation , computer science , homomorphism , association (psychology) , link (geometry) , library science , mathematics , philosophy , epistemology , discrete mathematics , pure mathematics , computer network
summary:For a positive integer $n$, the usual definitions of $n$-quasigroups are rather complicated: either by combinatorial conditions that effectively amount to Latin $n$-cubes, or by $2n$ identities on $n+1$ different $n$-ary operations. In this paper, a more symmetrical approach to the specification of $n$-quasigroups is considered. In particular, ternary quasigroups arise from actions of the modular group