模糊半环上的模糊半模范畴  

On Category of Fuzzy Semimodules on an Fuzzy Semiring

作　　者：陈桂英[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《枣庄学院学报》2008年第2期21-23,共3页Journal of Zaozhuang University

基　　金：山东省自然科学基金资助项目(2004ZX13);聊城大学青年基金资助项目(X051017)

摘　　要：本文从范畴角度研究模糊半环上的模糊半模,首先给出了半环上的半模范畴(即R-smod)及模糊半环上的模糊半模范畴(即FRA-smod)的定义,然后通过反变函子s及共变函子t建立R-smod与FAR-smod之间的关系,最后证明了FAR-smod是一个半加法范畴.The concepts of R - smod and FR^A - smod were introduced and the relation between R - smod and FR^A - smod was discussed by a contravariant functor S and a covariant functor t. Finally, it was proved that FR^A - smod was an semiadditive category.

关 键 词：FR^A-半模 FR^A-半模范畴 反变函子 共变函子 半加法范畴 

分 类 号：O159[理学—数学]