素数p在数域Q(u~(1/2),v~(1/2))上的素理想分解

运用局部域理论给出了奇素数p在数域K=Q(u~(1/2),v~(1/2))上的素理想分解形式,其中l是奇素数,u,v∈z~*,且u/vQ~l.     

A note on a simplified approach to the valuation of risky streams

This paper develops an approach to the valuation of risky streams defined by a class of stochastic processes. The valuation is given by a linear functional, which is an extension of the market valuations of the marketed assets. Provided that there exists an interest rate process, it is possible to represent the valuation functional as an appropriate expectation defined on the space of integrable random variables. The paper concludes with the relationship of our approach to the existing literature.     

Multi-Valued Fields. II

The main model-theoretic results on multi-valued fields with near Boolean families of valuation rings obtained in [1, Ch. 4, Sec. 4.6] are generalized along two lines: we weaken the restriction on being absolutely unramified to a condition of being finite for an absolute ramification index, and we combine, through context, Theorems 4.6.2 and 4.6.4 (4.6.3 and 4.6.5).     

A weak version of Rolle's theorem

We investigate the fields with the property that any polynomial over the field which splits in the field has a derivative which also splits.

     

Lukasiewicz语义集上的紧Hausdorff拓扑

以Ω记从全体命题之集F（S）到单位区间的全体Lukasiewicz赋值之集.本文通过一种自然的方法在Ω上引入了Fuzzy拓扑δ,证明了其为第二可数的零维良紧空间,并证明了δ在Ω上生成的截拓扑空间是第二可数的紧Hausdorff空间,从而是可度量化的空间.     

基于Ohlson模型的企业权益价值自适应估计

企业价值估计是投资的基础.1995年,J.Ohlson将超额收益RI（Residual Income）用于企业价值估价,形成了企业价值估价的一个分支.然而,Ohlson模型要求正确估计收益率和未来各期的超额收益,在应用上有明显的局限性.本文以Ohlson超额收益估价模型为基础,结合Gordon增长模型,建立了一个企业权益资本价值估价新模型.对该模型的参数估计,我们采取逐步迭代的方法,逐步吸收企业成长过程中的信息,不断修正模型参数,直至得到“满意”的参数.我们证明了这个参数估计过程是收敛的,因此新模型有更好的可操作性.     

Invertibility of ideals in Prüfer extensions

Using the general approach to invertibility for ideals in ring extensions given by Knebush and Zhang in [9 Knebush, M., Zhang, D. (2002). Manis Valuations and Prüfer Extensions I. Lecture Notes in Mathematics, Vol. 1791. Springer.[Crossref] , [Google Scholar]], we investigate about connections between faithfully flatness and invertibility for ideals in rings with zero divisors.     

Complete discounted cash flow valuation

This paper concerns discounted cash flow valuation of a company. When the company is in trouble, the owners have an option to provide it with a new capital; otherwise it is liquidated. In the absence of capital outflows and inflows, the company’s own funds are modelled by a spectrally negative Lévy process. Within this framework, we look for a strategy of dividend payments and capital injections which maximizes the firm’s value. We provide an optimal strategy as well as the corresponding valuation formula. Illustrative examples are given.     

Valuations of glued near hexagons

Valuations of near polygons were introduced in [ 12 ] as an important tool for classifying dense near polygons. In the present article, we will introduce the class of the semi‐diagonal valuations. These valuations live in glued near hexagons. A glued near hexagon S can be coordinatized by a pair of admissible triples; such triples consist of a Steiner system , a group G, and a certain nice map . We will give a necessary and sufficient condition for the existence of semi‐diagonal valuations in in terms of these two admissible triples. For two classes of glued near hexagons, we will use this condition to determine all semi‐diagonal valuations. Each semi‐diagonal valuation will also give rise to a hyperplane of the glued near hexagon. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 35–48, 2007     

Henselian valuations and orderings of a commutative ring

The purpose of this paper is to investigate the interplay between henselian valuations and orderings (or semiorderings) of a ring. As a main result, it is proved that for a henselian valuation on a ring , the following statements are equivalent: (1) is compatible with every semiordering of ; (2) is compatible with every ordering of ; (3) Every real prime ideal of is contained in the core of .