期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:1989
卷号:12
DOI:10.1155/S0161171289000256
出版社:Hindawi Publishing Corporation
摘要: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.