摘要
给出了偏序半环的半拟序集构成的格,证明了它是完备的分配格,并讨论了偏序半环的两个特殊的半拟序格,即拟序集构成的格与楄序集构成的格的关系。
In this paper,the lattice on semi—pseudoorder set SPO（R） of partially ordered semirings is given,it is proved that（SPO（R）,∧,∨）is complete distributive lattice,and the relation on the lattice of pseudoordered set and the lattice of partially ordered set of partially ordered semirings is discussed.
出处
《延安大学学报（自然科学版）》
2010年第4期12-14,17,共4页
Journal of Yan'an University：Natural Science Edition
基金
甘肃省教育厅科研项目(0608-04)
关键词
偏序半环
半拟序
完备格
分配格
序同构
Partially ordered semirings
semi—pseudoorder
complete lattice
distributive lattice
order isomorphism
