2008•Basic Sciences Journal of Textile UniversitiesRequires access
The structrue of the class of idempotent semiring
Xu Hui
Open publisher page 0 citations
Abstract
A very important class of idempotent semirings were studied.The idempotent semirings which satisfies the identity x+xy+x≈xy were discussed in different ways.By using the structure of the strong monobisemilattice of semiring,the structure of this idempotent semirings are obtained.In a sense,semiring S satisfies the identity x+xy+x≈xy if and only if S is the strong monobisemilattice of semiring which belongs to z∩R+.