Digital Object Identifier (DOI)
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 R1 and R2 such that R1 is left multiplicative and R2 is right multiplicative.
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Citation / Publisher Attribution
International Journal of Mathematics and Mathematical Sciences, v. 12, art. 971631
Scholar Commons Citation
Ratti, J. S. and Lin, Y. F., "On Anti-commutative Semirings" (1989). Mathematics and Statistics Faculty Publications. 42.