2009Jiangxi kexueRequires access

Pseudo-strong Semilattice of Rectangular Semiring Varieties

Wei Zhang

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Abstract

The structure of multiplicative normal and distributive semiring has been studied.We prove that this kind of semiring is a pseudo-strong semilattice of rectangular semiring varieties,and characterize the direct product of this kind of semiring and semiring,which has a unit element and a multiplicative semigroup band,as a pseudo-strong semilattice of R-semiring.

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The structure of multiplicative normal and distributive semiring has been studied.We prove that this kind of semiring is a pseudo-strong semilattice of rectangular semiring varieties,and characterize the direct product of this kind of semiring and semiring,which has a unit element and a multiplicative semigroup band,as a pseudo-strong semilattice of R-semiring.

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Available abstract

The structure of multiplicative normal and distributive semiring has been studied.We prove that this kind of semiring is a pseudo-strong semilattice of rectangular semiring varieties,and characterize the direct product of this kind of semiring and semiring,which has a unit element and a multiplicative semigroup band,as a pseudo-strong semilattice of R-semiring.

Key concepts: Semilattice, Semiring, Mathematics, Multiplicative function, Distributive property, Semigroup, Product (mathematics), Discrete mathematics

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