格序群的覆盖函子和圈积  

The Cover Functors and The Wreath Products of l-groups

作　　者：雷雪萍[1] 颜士新 

机构地区：[1]淮阴师范学院数学系,江苏淮安223001 [2]连云港技术学院数学系,江苏连云港222000

出　　处：《淮阴师范学院学报（自然科学版）》2003年第4期281-284,共4页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：继续研究了格序群的覆盖函子,自由积函子,张量积函子,以及反向极限函子和圈积函子之间的关系,进一步推广了MartinesJ,ScrimgerE,PowellB和TsinakisC关于l 群自由积和偏序群的自由扩张的关系.In this paper, we continues to research relationships among the functor V of _l-_groups,the functor _∪_ of _l-_groups free products, the functor _l_ of _l-_tensor products of _l-_groups, the functor (lim)← of _l-_groups inverse limit and the functor _～W_rH_ of _l-_groups wreath products. This paper generalize results of Martines J, Holland C, Powell B and Tsinakis C on the relationship between _l-_free products of _l-_groups and free extensions of pogroups.

关 键 词：格序群 覆盖函子 自由积 张量积函子 反向极限函子 圈积函子 

分 类 号：O152.1[理学—数学]