implies ''th power commutative'' ''nil index '' implies ''anticommutative'' ''nil index '' implies ''jordan identity'' ''nilpotent index '' implies ''jacobi identity'' ''nilpotent index '' implies ''nil index '' ''unital'' ''nil index '' incompatible ''jordan identity'' ''commutative'' together imply ''power associative'' ''right alternative'' implies ''power associative'' similarly ''left alternative'' implies ''power associative'' ''unital'' ''jordan identity'' together imply ''flexible'' ''jordan identity'' ''flexible'' together imply ''power associative'' ''commutative'' ''anticommutative'' together imply ''nilpotent index '' ''anticommutative'' implies ''nil index '' ''unital''
Formal science Mathematics Pure mathematics Algebra Non-associative algebra