2007•Journal of Jiangxi Normal UniversityRequires access

The Pseudo-Strong Semilattice of Bi-Semiring Varieties

Qu Cong

Abstract

In this paper,the structure of multiplicative left normal bi-semiring has been studied.We prove that this kind of bi-semiring is a pseudo-strong semilattice of multiplicative left zero bi-semiring,and characterize the direct product of this kind of bi-semiring and bi-semiring with a unit element as a pseudo-strong semilattice of bi-semiring.

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Key concepts: Semilattice, Semiring, Multiplicative function, Mathematics, Product (mathematics), Unit (ring theory), Discrete mathematics, Pure mathematics