12 citations · 48 across the 6 of their papers we have counts for
7 papers
Quasigroup words and reversible automata
Jonathan D. H. Smith, Stefanie G. Wang
This paper examines two related topics: the linearization of the reversible automata of Gvaramiya and Plotkin, and the problem of finding a faithful representation of the words in…
Isomorphism Invariants for Linear Quasigroups
Jonathan D. H. Smith, Stefanie G. Wang
For a unital ring , an -linear quasigroup is a unital -module, with automorphisms and giving a (nonassociative) multiplication . If is the fi…
On the Enumeration and Asymptotic Growth of Free Quasigroup Words
Jonathan D. H. Smith, Stefanie G. Wang
The paper counts the number of reduced quasigroup words of a particular length in a certain number of generators. Taking account of the relationship with the Catalan numbers, count…
Symmetrization of Jordan dialgebras
Murray R. Bremner
A basic problem for any class of nonassociative algebras is to determine the polynomial identities satisfied by the symmetrization and the skew-symmetrization of the original produ…
The Magic Star of Exceptional Periodicity
Piero Truini, Michael Rios, Alessio Marrani
We present a periodic infinite chain of finite generalisations of the exceptional structures, including e8, the exceptional Jordan algebra (and pair), and the octonions. We demonst…
The Mile High Magic Pyramid
A. Anastasiou, L. Borsten, M. J. Duff +3
Using a unified formulation of , super Yang-Mills theories in spacetime dimensions with fields valued respectively in , it wa…