一类特殊的归纳^＊-半环  

Some special inductive^＊ -semiring

作　　者：丰丕虎[1] 刘伟[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》2009年第3期292-294,共3页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10471112);陕西省自然科学基金资助项目(07JK413)

摘　　要：研究了一类特殊的归纳*-半环.通过给出一种具体的星号运算,并从这一具体的运算出发,构造了一类特殊的归纳*-半环.得到了一类特殊的归纳*-半环,并得到了一些性质,给出了一些应用.能够在同一代数结构上通过定义不同的星号运算得到相应的归纳*-半环,如果能够恰当的定义星号运算,将会使这一代数结构变得更加清晰.Some special inductive ^＊-semiring were studied. By giving a specific star operation, special ^＊-semiring is obtained, and its properties are found, and its applications are given at last. Different kinds of inductive ^＊-semirings could be acquired on a foundation of some different star operations are defined on the same algebra structure. If the star operation can be defined appropriately , the algebra structure could be more clear.

关 键 词：^＊-半环 序半环 归纳^＊-半环 

分 类 号：O153.3[理学—数学]