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简介：理想如果，我戒指R是强烈分离的因为所有有限地产生了射影的R模块A，有A=AI和B=BI的B2AAB，那么B。我们在这份报纸证明常规理想我如果并且仅当，一枚戒指，R是强烈分离的每1+I令人满意(1-a)Rr(a)是单位常规的，如果并且仅当每1+I令人满意(1-a2)Rr(2)是单位常规的，如果并且仅当每1+I令人满意的R(1-a)R=Rr(a)是单位常规的，如果并且仅当每1+I令人满意的R(1-a2)R=Rr(2)是单位常规的。

简介：让R是一枚任意的有限可交换的本地戒指。在这份报纸，我们在是多项式功能的R上为功能获得一个必要、足够的条件。在这份报纸前，为是一个多项式的功能的必要、足够的条件在一些特殊有限可交换的本地戒指上工作被获得。关键词多项式功能-有限可交换的本地戒指-概括Witt多项式先生(2000)题目分类12E10这个工作被NSFC(号码10128103)支持

简介：也就是，这篇文章介绍理想的一个新班sπr理想。在一枚戒指的sπr理想上的每个常规方形的矩阵承认斜减小，这被显示出。

简介：Peal[2]showsthatasufficientandnecessaryconditionontheexistenceoftheMoore-Penroseinverseoveranyfields.Zhuang[3]generalizetheresulttoanydivisionrings.InthissectionwegiveanothersufficientandnecessaryconditionontheexistenceoftheMoore-Penroseinverseoveranydivisionrings.Ourresultcanberegardedasanim-provementofTheoremlin[1].Asamediumresult,wealsoshowacharacterizationofthe{1,2}-inverse.

简介：Theauthorstudiesthestabilizationfortheunitarygroupsoverpolynomialringsandobtainsforthernsomeresultsanalogonstotheresultsoflineargroupsandsymplecticgroups,ItisespeciallyprovedthatK1U(A)=K1U(R)whereA=R[X1,…Xm],RisaringofalgebraicintegersinaquadraticfieldQ(√d).

简介：Inthispaper,westudyaYetter-DrinfeldmoduleVoveraweakHopfalgebraH.AlthoughthecategoryofallleftH-modulesisnotabraidedtensorcategory,wecandefineaYetter-Drinfeldmodule.UsingthisYetter-DrinfeldmodulesV,weconstructNicholsalgebraB(V)overtheweakHopfalgebraH,andaseriesofweakHopfalgebras.Someresultsof[8]aregeneralized.

简介：LetRbeafinitechainringwithmaximalidealγandresiduefieldF,andletγbeofnilpotencyindext.ToeverycodeCoflengthnoverR,atowerofcodesC=(C:γ0)(C:γ)(C:γi)(C:γt-1)canbeassociatedwithC,whereforanyr∈R,(C:r)={e∈Rn|re∈C}.UsinggeneratorelementsoftheprojectionofsuchatowerofcodestotheresiduefieldF,wecharacterizecycliccodesoverR.ThischaracterizationturnstheconditionforcodesoverRtobecyclicintooneforcodesovertheresiduefieldF.Furthermore,weobtainacharacterizationofcycliccodesovertheformalpowerseriesringofafinitechainring.

简介：让G是为一套素数的一个可分离的组，让N是G的正常亚群，并且让是我特性(即，无法缩减的部分特性)N。我们为G的我特性的数字获得一个必要、足够的条件在上拿可能的最大的|G:N||G:N|

简介：LetRbeasimpleArtinianring,Mm×n（R）bethesetofallm×nmatricesoverR.GLn（R）bethesetofalln×ninvertiblematricesoverR.LetATbethetransposematrixofA∈Mm×n（R）.BytheWedderburn-Artintheorem,RbeisomorphictoatotalmatrixringMs×s（D）overadivisionringD.Letα→（α）DbeanisomorphismofRontoMs×s（D）,ifX=

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简介：在这篇论文，我们学习在订的复制Hilbert空格和它的复制内核之间的关系。对多项式与领先的学期产生的二个伪不变的潜水艇空格的一个类似、单一的等价的完全的描述被给。

简介：ThispaperintroducesaunifiedoperatortheoryapproachtotheabstractFourieranalysisoverhomogeneousspacesofcompactgroups.LetGbeacompactgroupandHbeaclosedsubgroupofG.LetG/HbetheleftcosetspaceofHinGandμbethenormalizedG-invariantmeasureonG/HassociatedtotheWeil'sformula.Then,wepresentageneralizedabstractframeworkofFourieranalysisfortheHilbertfunctionspaceL~2(G/H,μ).

简介：Inthispaper,theoptimaltradingstrategyintimingthemarketbyswitchingbetweentwostocksisgiven.Inordertodealwithalargesamplesizewithafastturnaroundcomputationtime,weproposeaclassofrecursivealgorithm.Asimulationisgiventoverifytheeffectivenessofourmethod.

简介：Inacommonauthenticationcodewitharbitration,thedishonestarbitermaymakeathreattothesecurityofauthenticationsystem.Inthispaper,anauthenticationcodewithdoublearbitersoversymplecticgeometryisconstructed,andtherelevantparametersandtheprobabilitiesofsuccessfulattacksarecalculated.Themodelnotonlypreventsdeceptionfromtheopponentandmembersofthesystem,butalsoeffectivelylimitstheattacksofsinglearbiter.Moreover,thecollusionattacksfromarbitersandparticipatorsaredifficulttosucceed.

简介：Afamilyofauthenticationcodeswitharbitrationareconstructedoverprojectivespaces,theparametersandtheprobabilitiesofdeceptionsofthecodesarealsocomputed.Inaspecialcase,aperfectauthenticationcodewitharbitrationisobtained.

简介：让Z/(p[e])是整数残余戒指模p[e]与p一个奇怪的素数；整数e≥3。为在Z/上的一个序列(p[e])，在各个能在Z/(p)上被认为是一个序列的地方，有唯一的p-adic分解，0≤i≤e1。让f(x)是在Z/上的一个原始多项式(p[e])；G′(f(x)，p[e])所有原始序列的集合在Z/上由f(x)产生了(p[e])。为μ(x)∈Z/(p)[x]与deg(μ(x))≥2；ged(1+deg(μ(x))，p1)=1，设定

简介：Inthispaper,weprovethefollowingresults:1)AnormalbasisNoverafinitefieldisequivalenttoitsdualbasisifandonlyifthemultiplicationtableofNissymmetric;2)ThenormalbasisNisself-dualifandonlyifitsmultiplicationtableissymmetricandTr(α~2)=1,whereαgeneratesN;3)AnoptimalnormalbasisNisself-dualifandonlyifNisatype-Ⅰoptimalnormalbasiswithq=n=2orNisatype-Ⅱoptimalnormalbasis.

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

简介：Let{fX(t),t≧0}beacenteredstationaryGaussianprocesswithcorrelationr(t)suchthat1-r(t)isasymptotictoaregularlyvaryingfunction.WithTbeinganonnegativerandomvariableandindependentofX(t),theexactasymptoticsofP(supt∈[0;T]X(t)>x)isconsidered,asx→∞.