Hypergroup theory extends the classical framework of group theory by generalising the binary operation so that the result of combining two elements is a subset rather than a single element. This ...
A binary operation * over real numbers is said to be associative if (x * y) * z = x * (y * z) and it is said to be reducible if x * y = x * z or y * w = z * w if and ...
Proceedings of the American Mathematical Society, Vol. 139, No. 5 (MAY 2011), pp. 1585-1597 (13 pages) A pre-Lie product is a binary operation whose associator is symmetric in the last two variables.
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