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简介：Thispaperprovesthat,underthehypothesisg(t,0,0)≡0andsomenaturalassumptions,thegeneratorgofabackwardstochasticdifferentialequationcanbeuniquelydeterminedbythecorrespondingg-expectationswithallterminalconditions.ThemainresultofthispaperalsoconfirmsandextendsPengShige'sconjecture.

简介：Inthispaper,westudynon-cosemisimpleHopfalgebrasthroughtheirunderlyingcoalgebrastructure.Weintroducetheconceptofthemaximalpointedsubcoalgebra/Hopfsubalgebra.Foranon-cosemisimpleHopfalgebraAwiththeChevalleyproperty,ifitsdiagramisaNicholsalgebra,thenthediagramofitsmaximalpointedHopfsubalgebraisalsoaNicholsalgebra.WhenAisoffinitedimension,weprovideanecessaryandsufficientconditionforA’sdiagramequalingthediagramofitsmaximalpointedHopfsubalgebra.

简介：AcommutativeringRiscalledextendingifeveryidealisessentialinadirectsummandofRR.Thefollowingresultsareproved:(1)C(X)isanextendingringifandonlyifXisextremelydisconnected;(2)Spec(R)isextremelydisconnectedandRissemiprimeifandonlyifRisanonsingularextendingring;(3)Spec(R)isextremelydisconnectedifandonlyifR/N(R)isanextendingring,whereN(R)consistsofallnilpotentelementsofR.Asanapplication,itisalsoshownthatanyGelfandnonsingularextendingringisclean.

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简介：<正>InthepresentnotethealgebraicindependenceofvaluesofseveralMahlerserieswithcertainparticularanddifferentparametersatalgebraicpointsisestablishedbymeansofatypicalapproximationmethodhandlingtheLiouvilletypeseries.

简介：让B(R~n)是所有nxn的集合真实矩阵，S_r有等级r，0鈮?r鈮?n，和S_r~#的所有矩阵的集合弧的数字S_r的明智的连接部件。它知道iswell那S_n=GL(R~n)是一个谎言组并且另外在有尺寸nxn的B(R~n)的光滑的亢奋的表面。但是我们还没单个矩阵S_r的几何建设怎么样知道那，0

简介：Let{X,Xn,n≥1}beasequenceofi.i.d.randomvariableswithzeromean,andsetSn=Σk=1nXk,EX2=σ2>0,λ(ε)=Σn=1∞P(|Sn|≥nε).Inthispaper,wediscusstherateoftheapproximationofσ2byε2λ(ε)undersuitableconditions,andimprovethecorrespondingresultsofKlesov(1994).

简介：Inthisnote,wegiveanecessaryandsufficientconditionforviabilitypropertyofdiffusionprocesseswithjumpsonclosedsubmanifoldsofR~m.OurresultisthesystemisviableinaclosedsubmanifoldKiffthecoefficientsaretangenttoKalongKiftheequationisinthesenseofstratonovichintegralandthesolutionjumpsfromKtoK.

简介：ABanachspaceoperatorsatisfiesgeneralizedRakoevi'sproperty(gw)ifthecomplementofitsuppersemiB-WeylspectruminitsapproximatepointspectrumisthesetofeigenvaluesofTwhichareisolatedinthespectrumofT.Inthisnote,wecharacterizehypecyclicandsupercyclicoperatorssatisfyingtheproperty(gw).

简介：ＡＮＩＮＴＥＲＳＥＣＴＩＯＮＰＲＯＰＥＲＴＹＯＦＴＨＥＳＩＭＰＬＥＲＡＮＤＯＭＷＡＬＫＳＩＮＺ￣ｄＺＨＯＵＸＩＡＮＹＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ１００８７５，Ｃｈｉｎａ）Ａｂｓｔ...

简介：在这份报纸，我们与旋转对称为伪泛音范围的一个班获得Liouville类型结果。

简介：在这篇文章，用WDVV方程，作者首先证明表面的发作的所有Gromov-Witteninvariants能被一些递归的关系从自己的Gromov-Witteninvariants计算。而且，它可以在发作上决定量产品。它也证明有为发作的大量cohomology的functoriality的某度。给词调音：量cohomology；WDVV方程；Gromov-Witten不变

简介：ThevaluedistributionofentirefunctionsdefinedbyDirichletseriesarestudiedinthispresentarticle.ItisprovedthatentirefunctionsdefinedbyDirichletserieshavethepitsproperty,whichimprovetherelativeresultsonlacunaryTaylorseriesobtainedbyLittlewoodJ.E.andOffordA.C.

简介：作者证明有细胞的不能分解的性质的一个操作员没在semi-Fredholm领域有单个点，由使用4吗？？

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简介：LetGbeafinitegroup,andSbeasubsetofG.Thebi-CayleygraphBCay(G,S)ofGwithrespecttoSisdefinedasthebipartitegraphwithvertexsetG×{0,1}andedgeset{(g,0),(gs,1)|g∈G,s∈S}.Inthispaper,wefirstprovidetwointerestingresultsforedge-hamiltonianpropertyofCayleygraphsandbi-Cayleygraphs.Next,weinvestigatetheedge-hamiltonianpropertyofΓ=BCay(G,S),andprovethatΓishamiltonianifandonlyifΓisedge-hamiltonianwhenΓisaconnectedbi-Cayleygraph.

简介：性质awc1被许多作者使用由弱Chebyshevsubspaces的元素有关近似获得结果。在这份报纸，作者在细节学习这个性质，由收集有关它并且由发现新的散布结果。

简介：Inthispaper,thenotionoftheboundedcompactapproximationproperty(BCAP)ofapair[Banachspaceanditssubspace]isusedtoprovethatifXisaclosedsubspaceofL∞withtheBCAP,thenL∞/XhastheBCAP.WealsoshowthatX*hastheλ-BCAPwithconjugateoperatorsifandonlyifthepair(X,Y)hastheλ-BCAPforeachfinitecodimensionalsubspaceY∈X.LetMbeaclosedsubspaceofXsuchthatM⊥iscomplementedinX*.IfXhasthe(bounded)approximationpropertyoforderp,thenMhasthe(bounded)approximationpropertyoforderp.

简介：Inthispaperwe’llproveafundameutalpropertyofthevectorspacebymeansoftheex-tensionfield,i.e.thenumbersoftheelementsofabasisofthevectorspaceVoverthefieldFequaltothedimensions(V:F).