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- Title
A subvariety(R<sup>+</sup>·D) ∩ ID of idempotent semiring variety.
- Authors
Jian-hua, LIU; Dong-liang, LI
- Abstract
An important subvariety(R+·D) ∩ ID of the idempotent semiringvariety is studied in this paper. The Green's relations on the addtive reduct, the Green's relations on multiplicative reduct of an idempotent semiring, and the suddirect product decomposition of a semi ring are used to characterizeC(R+·D) ∩ ID. The properties of the members of(R+·D) ∩ ID are obtained and the structures of the members of (R+·D) ∩ ID are discussed. The result of(R+·D) ∩ ID=((Lz+·D) ∩ ID V (Rz+·D) ∩ ID is proved.
- Subjects
IDEMPOTENTS; SEMIRINGS (Mathematics); GREEN'S functions; MATHEMATICAL decomposition; MULTIPLICATION
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 3, p331
- ISSN
1006-8341
- Publication type
Article