摘要
利用半环上的同余关系,研究了半环类.■°I中成员的性质.分别研究了半环类.O∩■°■B和■∩■°■中成员的次直积分解,并利用"(2,2)型代数的坚固构架"的概念,证明了半环S∈■°■l是■与■l中成员的次直积当且仅当S的乘法半群是群与半格的次直积.
By using the congruences on a semiring, the properties of members of the class G°I of semirings are obtained. The subdirect product decompositions of the members of the classes O∩G°NB and O∩G°R of semirings are studied, respectively. And it is proved that a serniring S in G°Sl is a subdirect product of a member of G and a member of Sl if and only if the multiplicative reduct of S is a subdirect product of a group and a semilattice by using the concept of sturdy frame of type (2,2) algebras.
出处
《陕西师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2007年第4期15-18,共4页
Journal of Shaanxi Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(10471112)
陕西省自然科学研究计划资助项目(2005A15)