International Journal of Mathematics and Mathematical Sciences (Jan 1989)

On anti-commutative semirings

  • J. S. Ratti,
  • Y. F. Lin

DOI
https://doi.org/10.1155/S0161171289000256
Journal volume & issue
Vol. 12, no. 1
pp. 205 – 207

Abstract

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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.