简介：本文对π凝聚环上多项式环的FGT维数做了讨论，给出了定理，R，R[x]是π-凝聚环，则当脚FGT-WD(R)≥1时FGT-WD(R[x])=FGT—WD(R)+1，当FGT—WD(R)=0时，FGT-WD(R)．FGT—WD(R[x])中一者为零另一个也为零．

简介：主要讨论了在一定条件下半环的强分配格S上的环同余ρ与半环族（Sα）α∈D上的环同余族（ρα）α∈D之间的关系．

简介：先建立除环上的矩阵范畴，并证明这个范畴是Ａｂｅｌ范畴，然后利用范畴论中的结论给出除环上矩阵方程ＡＸＢ＝Ｄ有解的条件。

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简介：Inthispaper,anewnumericalmethodfortheSignoriniprobleminthree-dimensionalelasticityispresented.Theproblemisreducedtoaboundaryvariationalinequalitybasedonanewrepresentationofthederivativeofthedoublelayerpotential.Furthermore,aboundaryelementprocedureisdescribedforthenumericalapproximationofitssolutionandanabstracterrorestimateisgiven.

简介：Inthisnoteasimpleiterativemethodforsimultaneouslyfindingallzerosofapolynomialisestablished.Themethoddoesnotrequirerepeatedevaluationofthepolynomialoritsderiva-tives,andisgloballyconvergentforquadraticpolynomials.

简介：设R是有1的交换环，2是R的单位，本文决定了R上李代数sl2(4)的理想,进而，若R是整环，本文决定了sl2(R)与gl2(R)的自同构形式。

简介：证明了如果尺是含有恒等元的交换半环，那么R上的n阶上三角矩阵代数的自同构都是内自同构．

简介：利用局部化环，给出了环为唯一分解整环的充要条件，推广了Auslander等人的结果。

简介：Let1＜ρ≤2,Ebearealρ-uniformlysmoothBanachspaceandT:E→Ebeacontinuousandstronglyaccretiveoperator.ThepurposeofthispaperistoinvestigatetheproblemofapproximatingsolutionstotheequationTx=fbytheIshikawaiterationprocedurewitherrors(?)wherex_0∈E,{u_n},{υ_n}areboundedsequencesinEand{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'}arerealsequencesin[0,1].Undertheassumptionofthecondition0＜α≤b_n+c_n,An≥0,itisshownthattheiterativesequence{x_n}convergesstronglytotheuniquesolutionoftheequationTx=f.Furthermore,undernoassumptionofthecondition(?)(b_n~'+c_n~')=0,itisalsoshownthat{x_n}convergesstronglytotheuniquesolutionofTx=f.

简介：Thetwo-sidedLanczosmethodispopularforcomputingafewselectedeigentripletsoflargenon-Hermitianmatrices.However,ithasbeenrevealedthattheRitzvectorsgainedbythismethodmaynotconvergeevenifthesubspacesaregoodenoughandtheassociatedeigenvaluesconverge.Inordertoremedythisdrawback,anovelmethodisproposedwhichisbasedontherefinedstrategy,thequasi-refinedideaandtheLanczosbiothogonalizationprocedure,theresultingalgorithmispresented.Therelationshipbetweenthenewmethodandtheclassicalobliqueprojectiontechniqueisalsoestablished.Wereportsomenumericalexperimentsandcomparethenewalgorithmwiththeconventionalone,theresultsshowthattheformerisoftenmorepowerfulthanthelatter.

简介：设A是一个m×m可逆矩阵，称使得A^n=kE（E为单位矩阵）对某个实数女成立的最小正整数n为A的阶，记为O（A）．本文证明，在整数环上，2×2矩阵方程A^n=kE（det（A）≠0）有解当且仅当矩阵A的阶O（A）∈{1，2，3，4，6}．

简介：推广并改进了实数域上线性方程组的反问题及其一系列结果，解决了除环上左线性方程组更具广泛性的一类反问题，给出了此类反问题有(斜)自共轭解及(半)正定自共轭解的充要条件及其解集结构。

简介：We’llconsiderthemodeloftwo-phasecompressiblemiscibledisplacementinporousmediawhichincludesmoleculardiffusionanddispersioninonedimensionalspace.Time-discretizationprocedureisestablishedandanalysed.TheoptimalerrorestimateinL2normisprovedbyintroducinganewinterpolationoperatorR.

简介：Inthiswork,systemofparabolicequationswithdiscontinuouscoefficientsisstudied.Thedomaindecompositionmethodmodifiedbyacharacteristicfiniteelementprocedureisapplied.Afunctionisdefinedtoapproximatethefluxesoninnerboundariesbyusingthesolutionatthepreviouslevel.Thustheparallelismisachieved.Convergenceanalysisanderrorestimatearealsopresented.

简介：令R为有单位元1的2-挠自由的交换环．本文给出R上四阶反对称矩阵的李代数L4（R）的任意BZ导子的分解，及BZ导子成为内导子的一个充要条件．

简介：研究了方程-div(‖Du‖^-2Du)=λf(u)在R^n,n≥2中环域上的正的径向解的多重性。当f在正区域上有多个峰的情况下，我们获得了多个解。

简介：研究环域上一类非线性二阶椭圆系统的正对径解的存在性和多解性.文章的主要思想是锥拉伸与锥压缩型的Krasnosel'skii不动点定理的局部应用.

简介：Anonlinearparabolicsystemisderivedtodescribeincompressiblenuclearwaste-disposalcontaminationinporousmedia.Asequentialimplicittirne-steppingisdefined,inwhichthepressureandDarcyvelocityofthemixtureareapproximatedsimultaneouslybyamixedfiniteelementmethodandthebrine,radionuclidandheataretreatedbyacombinationofaGalerkinfiniteelementmethodandthemethodofcharacteristics.Optimal-orderconvergenceinL2isproved.Time-truncationerrorsofstandardproceduresarereducedbytimesteppingalongthecharacteristicsofthehyperbolicpartofthebrine,radionuclideandhealequalios,temporalandspatialerrorarelossenedbydirectcompulationofthevelocityinthemixedmethod,asopposedtodifferentiationofthepressure.

简介：引进分次Armendariz环的概念,讨论了分次环R=n∈ZRn及由它导出的非分次环R,R0,及R[x]之间关于Armendariz环性质的关系,并推广了[8]的结论,得到在R=n∈ZRn是Z-型正分次环的前提下,若R是分次Armendariz,分次正规环,则R是P.P.环(Baer环)当且仅当R是分次P.P.环(分次Baer环).