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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 205-207
doi:10.1155/S0161171289000256

On anticommutative semirings

J.S. Ratti and Y.F. Lin

Department of Mathematics, University of South Florida, Tampa 33620, Florida, USA

Abstract

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.