UF-归纳^＊-半环和UF-弱归纳^＊-半环  

UF-inductive^ ＊ -semirings and UF- weak inductive ^＊ -semirings

作　　者：王力[1] 冯立[1] 王青茹[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2010年第2期180-184,共5页Basic Sciences Journal of Textile Universities

基　　金：西北大学科学院研究基金资助项目(09NW-25)

摘　　要：对归纳*-半环和弱归纳*-半环进行更深入的研究.通过引入UF-归纳*-半环和UF-弱归纳*-半环的定义,给出了这两类半环的性质,讨论了它们之间的关系.并研究了这两类半环上的形式幂级数半环与矩阵半环,获得了一些结果.所得结果丰富了*-半环并推广*-半环上的一些重要理论.To study the inductive^ ＊ -semirings and weak inductive ^＊ -semirings more deeply, UF-inductive ＊-semirings and UF-weak inductive ^＊ -semirings are defined. Some qualities of them are given. The relationships among these semirings are discussed. Also, the formal power series semirings and the matrices semirings over UF-inductire^ ＊-semirings and UF-weak inductive^ ＊-semirings are researched and some results are obtained. The results are the generalization of the known theorem of the ^＊ -semirings,

关 键 词：归纳*-半环 弱归纳*-半环 形式幂级数半环 矩阵半环 

分 类 号：O153.3[理学—数学]