J. S. Ratti, Y. F. Lin, "On anti-commutative semirings", International Journal of Mathematics and Mathematical Sciences, vol. 12, Article ID 971631, 3 pages, 1989. https://doi.org/10.1155/S0161171289000256
On anti-commutative semirings
An anticommutative semiring is completely characterized by the types of multiplications that are permitted. It is shown that a semiring is anticommutative if and only if it is a product of two semirings and such that is left multiplicative and is right multiplicative.
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