Pseudo-strong Semilattice of Rectangular Semiring Varieties
Wei Zhang
Abstract
Wei Zhang
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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