ω-Conway半环与ω-归纳~＊-半环

ω -Conway semirings and ω-inductive~＊-semirings

引入了ω-Conway半环与ω-归纳*-半环的概念,并且研究了它们的性质.得到了ω-归纳*-半环是ω-Conway半环.对ω-归纳*-半环的形式幂级数半环进行了讨论.结果表明,ω-Conway半环(ω-归纳*-半环)的矩阵半环仍然是ω-Conway半环(ω-归纳*-半环).

The concepts of ω-Conway semirings and ω-inductive＊-semirings are introduced,and their properties are studied.It is obtained that ω-inductive＊-semirings are ω-Conway semirings.The semirings of formal power series of ω-inductive＊-semirings are discussed.It is proved that the matrix semirings of ω-Conway semirings（ω-inductive＊-semirings） are also ω-Conway semirings（ω-inductive＊-semirings）.