摘要
从满足ACC的任何偏序集是pre-CPO出发,研究了满足ACC的偏序集上的定向集,并由此给出满足ACC的*-λ-半环的一些性质.证明了S是满足ACC的*-λ-半环,则S是局部闭*-半环和连续*-半环.进一步得到任何满足ACC的*-λ-半环是对称*-λ-半环。
In this paper,we study the direct sets of partially ordered set satisfing ACC,show some properties of ＊-λ-semiring satisfing ACC by any partially ordered set satisfing ACC is a pre-CPO.We prove that S is a ＊-λ-semiring satisfing ACC,then S is a locally closed ＊-semiring and continuous ＊-semiring.Ascending,the result that any ＊-λ-semiring which satisfys ACC is a symmetric ＊-λ-semiring is gotten.
出处
《纯粹数学与应用数学》
CSCD
2010年第6期998-1004,共7页
Pure and Applied Mathematics
基金
西北大学科学研究基金(09NW-25)
