幺半群S-系范畴函子的自然变换  

Nature Transformations of Functors in S-Act Categories

作　　者：张广亮[1] 

机构地区：[1]华南师范大学南海校区应用数学系,广东南海528225

出　　处：《甘肃联合大学学报（自然科学版）》2008年第2期4-8,共5页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：给出了幺半群S-系范畴的若干对自然同构的函子.研究了Hom函子和张量函子的性质,并得到S-系是忠实平衡的一个充要条件.在幺半群S-系范畴中得到若干函子的自然同构.另外,对左R右S-双系U,证明了:RUS是忠实平衡双系当且仅当RR和SS是U-自反的.In this paper, some pairs of isomorphic functors in S-lAct categories are obtained. Some characterizations of Hom and tensor functors are given. An equivalent condition for which an S-l act is faithful balanced is obtained. Some natural isomorphisms are proved. For a left R right S-l biact U ,it is concluded that RUs is faithful balenced if and only if RR and Ss are U-lreflexive.

关 键 词：S-系 自然同构 范畴 函子 忠实平衡 

分 类 号：O152.7[理学—数学]