19 citations · 74 across the 13 of their papers we have counts for
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Lie and Jordan products in interchange algebras
Murray Bremner, Sara Madariaga
We study Lie brackets and Jordan products derived from associative operations satisfying the interchange identity $(w \bullet x ) \circ ( y \bullet z ) \equiv (w \…
Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
Murray Bremner, Sara Madariaga, Luiz A. Peresi
In part 1, we review the structure theory of , the group algebra of the symmetric group over a field of characteristic 0. We define the images o…
Permutation of elements in double semigroups
Murray Bremner, Sara Madariaga
Double semigroups have two associative operations related by the interchange relation: $( a \bullet b ) \circ ( c \bullet d ) \equiv ( a \circ c ) \bullet ( b \cir…
Jordan quadruple systems
Murray Bremner, Sara Madariaga
We define Jordan quadruple systems by the polynomial identities of degrees 4 and 7 satisfied by the Jordan tetrad {a,b,c,d} = abcd + dcba as a quadrilinear operation on associative…