关于正规带的自由积  

ON FREE PRODUCT OF NORMAL BANDS

作　　者：仇永平 张焕玲 林杰 

机构地区：[1]济南教育学院数理系,济南250001 [2]山东大学数理系,济南250061 [3]山东冶金职工大学数学系,济南250100

出　　处：《山东工业大学学报》2000年第6期521-524,546,共5页

摘　　要：给出半群自由积的泛性刻划 ,证明了任意半群的极大正规带同态象存在且同构唯一 ,同时证明了正规带的自由积的极大正规带同态象同构于这些正规带在正规带范畴中的自由积 .The universal characterization of free product of semigroups is given and it is proved that maximal normal band homomorphism image of any semigroup exists and is unique in sense of isomorphism. Furthermore, the paper also proves that the maximal normal band homomorphism image of free product of normal bands in isomorphic to the free product of those normal bands in normal band category.

关 键 词：半群 同构 同态 正规带 自由积 同态象 泛性刻划 

分 类 号：O152.7[理学—数学]