可换序半群的分式扩张

In this paper we extend the construction of the field of rational numbers from the ring of integers to an arbitrary commutative ordered semigroup.We first construct a fractional ordered semigroup and a homomorphism ψs:R→S-1R.Secondly,we characterize the commutative ordered semigroup so constructed by a universal mapping property.     

一种基于Galois联络的逻辑及其等价形式

将形式化方法引入到Galois联络的研究当中,提出了一种基于Galois联络的逻辑系统LGC,给出了其等价形式并证明了完备性定理.由于Galois联络与粗糙集及概念格有着紧密的联系,故本文的结果对概念格及粗糙集的形式化研究有一定的启示作用.     

一种基于梯形模糊数的模糊多属性格序决策方法

从格序结构理论出发,根据梯形模糊数构成的集合按照一定的比较规则构成一偏序,进而满足一定条件构成格.给出了在应用具有梯形模糊数的多属性格序决策过程中格中缺失元素的补充机理.研究了用格序决策理论对梯形模糊数进行排序的方法,并将其用于投资者对投资方案的选择.     

考虑检验错误的集团抽样检验接收概率函数

本文给出存在集团检验误差时的集团抽样检验接受概率计算公式,该公式可用于设计抽样方案、分析集团检验错误对抽样方案的影响.采用计算机模拟抽样检验的方法对给出的公式加以验证,证明了该所给公式的正确性.同时通过对集团检验错误存在与否的抽样检验特征(OC)曲线的比较,指出:以往的集团抽样检验方案设计,都是在假设无检验误差前提下设计的,在抽样检验中,若存在检验错误,会严重影响抽样检验的接收概率,使抽样检验结果不能客观地反映检验批的质量.     

关于哈斯图的一种矩阵方法

一个集合与其上定义的偏序关系构成了一个偏序集,哈斯图简单明了的反映了一个偏序集中元素间的联系.本文从偏序关系的矩阵表示出发,给出了求哈斯图的一种方法.     

单机总误时排序问题的序扩张

单机总误时排序问题的序扩张林诒勋（郑州大学数字系，郑州４５００５２）ＯＲＤＥＲＥＸＴＥＮＳＩＯＮＳＦＯＲＴＨＥＳＩＮＧＬＥＭＡＣＨＩＮＥＴＯＴＡＬＴＡＲＤＩＮＥＳＳＰＲＯＢＬＥＭ￥ＬＩＮＹＩＸＵＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｚｈ...     

序半环的序理想

An ordered semiring is a semiring S equipped with a partial order ≤ such that the operations are monotonic and constant 0 is the least element of S.In this paper,several notions,for example,ordered ideal,minimal ideal,and maximal ideal of an ordered semiring,simple ordered semirings,etc.,are introduced.Some properties of them are given and characterizations for minimal ideals are established.Also,the matrix semiring over an ordered semiring is consid-ered.Partial results obtained in this paper are analogous to the corresponding ones on ordered semigroups,and on the matrix semiring over a semiring.     

可换BCH-代数

引入了可换BCH-代数的概念,给出了可换BCH-代数的两个充要条件.对偏序可换BCH-代数进行了讨论,给出了偏序BCH-代数是可换的两个充要条件.证明了偏序可换BCH-代数的每个分支是一个下半格,局部有界偏序可换BCH-代数的每个分支是一个格.     

偏序集的序连通关系及其序连通分支

为研究偏序集的连通性,文中通过定义偏序集的上集列,进而给出上集列连通分支的概念.以上集列连通分支为工具刻画偏序集以及子偏序集的连通性.指出连通关系是一个等价关系,而一个类的本质就是一个上集列连通分支.揭示上集列连通分支的特征是一个连通分支并.还证明了偏序集可唯一地分解为连通分支的不交并.最后探究了在保序同构映射下连通子集的像(原像)仍然具有连通性.特别地,连通分支的像(原像)也是连通分支.     

关于矩阵的Sharp序、*序和减序

给出短阵sharp序的一个新的刻画，由此得到(半)正定短阵sharp序与其平方矩阵sharp序之间的关系．我们还讨论正规矩阵的*序与减序之间的关系，推广了关于Hermmite矩阵的相应结果．     

带利率的特殊双险种风险模型的破产概率

研究了保费为一复合随机过程且含利率因素的特殊双险种风险模型,给出了此模型下保险公司稳定经营的必要条件;证明了调节系数的存在性;用鞅方法讨论了此模型的破产概率上界.     

对于大额索赔的平衡更新模型的破产概率

本文研究平衡更新风险模型的破产概率ψ（x）,这里x为保险公司初始的资本金.在假定索赔额服从重尾分布的条件下,给出了当x→∞时;ψ（x）的尾等价关系,所得结果与经典的Cramer-Lundbeng模型下的结论完全一致.     

Partial Groupoid Actions: Globalization,Morita Theory,and Galois Theory

In this article, we introduce the notion of a partial action of a groupoid on a ring as well as we give a criteria for the existence of a globalization of it. We construct a Morita context associated to a globalizable partial groupoid action, and we introduce the notion of a partial Galois extension, which is related to the strictness of this context.     

具有随机保费风险模型破产概率的下界及渐近表示

本文研究一类推广的风险模型,其保费收入过程不再是时间的线性函数.利用寿命分布类D-NBU我们获得了破产概率的一些下界.利用破产概率所满足的一个更新方程,我们还得到了关于破产概率的一个渐近表达式.     

Actions of Inverse Semigroups on Algebras

In this article we prove that if S is a faithfully projective R-algebra and H is a finite inverse semigroup acting on S as R-linear maps such that the fixed subring S ^H  = R, then any partial isomorphism between ideals of S which are generated by central idempotents can be obtained as restriction of an R-automorphism of S and there exists a finite subgroup of automorphisms G of S with S ^G  = R.     

A CLASS OF NATURALLY ORDERED ABUNDANT SEMIGROUPS WITH A GREATESTIDEMPOTENT

1PreliminariesInthissectionwepresentsomebasicresultsonPalterlyorderedSendgroups,whichwillbeusedfrequentlyinthisPaperThefollowingresultsarequotedfromBlythandMcFaddenl3],justastheysay)whichisalmostpartofthebaulk-lore"ofthetheoryoforderedsetwouPS.Theorem1.1Let(S,S)beanorderedsendgroupwiththesetEofidempotents.Supposethate,jEEwitheSI.Thenel,fe,jef,efeEE.Moreover,ifSisnaturallyorderedthenefe=e.Corollary1.2IfSisnaturallyorderedandhasagreatestidempotentattheneke=eforanyeeE.Inwhatfollows,Sde…     

带干扰的双Cox风险模型的破产概率

对于受布朗运动干扰的双Cox模型,用鞅方法得到了估计其破产概率上界的Lundberg不等式,并对Lundberg不等式进行了推广.     

Morita Contexts and Partial Group Galois Extensions for Hopf Group Coalgebras

We first introduce the notion of partial group twisted smash product and construct a Morita context for partial coaction of co-Frobenius Hopf group coalgebra relating generalized partial group smash product and partial coinvariants. Furthermore, we study group-Galois extensions and reobtain some classical results in the partial case. Finally, we prove that any partial group Galois extension induces a unique partial group entwining map compatible with the partial right coaction.