Orderings on semirings

Abstract

Though more general definitions are sometimes used, for this paper a semiring will be defined to be a set S with two operations + (addition) and 9 (multiplication); with respect to addition, S is a commutative monoid with 0 as its identity dement 9 With respect to multiplication, S is a (generaily noncommutat ive) monoid with 1 as its identity element… (More)

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