Monic and monic free ideals in a polynomial semiring in several variables
Abstract: The study of monic and monic free ideals in a polynomial semiring , where is a commutative semiring with an identity, is extended to . Structure theorems are given for monic, monic free, and monic free -ideals in . It is shown that each monic free -ideal in a strict semiring, is the sum of a finite number of ideals such that each is the union of a proper infinite ascending chain of ideals.
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Keywords: Strict semiring, monic ideals, monic free ideals, -ideals
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