简介：Itiswellknownthateveryprimeidealminimaloveraz-idealisalsoaz-ideal.TheconverseisalsowellknowninC(X).ThuswheneverIisanidealinC(X),thenI~(1/2)isaz-idealifandonlyifIis,inwhichcaseI~(1/2)=I.Weshowthesamefactforz~o-idealsandthenitturnsoutthatthesumofaprimaryidealandaz-ideal(z~o-ideal)inC(X)whicharenotinachainisaprimez-ideal(z~o-ideal).Wealsoshowthateverydecomposablez-ideal(z~o-ideal)inC(X)istheintersectionofafinitenumberofprimez-ideals(z~o-ideal).Somecounter-examplesingeneralringsandsomecharacterizationsforthelargest(smallest)z-idealandz~o-idealcontainedin(containing)anidealaregiven.

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简介：ThenotionsoffuzzydotidealsandfuzzydotH-idealsinBCH-algebrasareintro-duced,severalappropriateexamplesareprovided,andtheirsomepropertiesareinvestigated.Therelationsamongfuzzyideal,fuzzyH-ideal,fuzzydotidealandfuzzydotH-idealsinBCH-algebrasarediscussed,severalequivalentdepictionsoffuzzydotidealareobtained.Howtodealwiththehomomorphicimageandinverseimageoffuzzydotideals(fuzzydotH-ideals)arestudied.Therelationsbetweenafuzzydotideal(fuzzydotH-ideal)inBCH-algebrasandafuzzydotideal(fuzzydotH-ideal)intheproductalgebraofBCH-algebrasaregiven.

简介：ＯＮＭ－ＩＤＥＡＬＳＡＮＤＢＥＳＴＡＰＰＲＯＸＩＭＡＴＩＯＮＨＡＮＤＥＧＵＡＮＧ（韩德广）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＱｕｆｕＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｑｕｆｕ２７３１６５，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａ...

简介：我们与是的每最小的左理想学习这些戒指一个射影的、直接被加数和一个p-injective模块分别地。这些戒指的一些描述被给，并且在他们之中的关系被获得。与这些戒指，我们描绘半简单戒指。最后，我们介绍MC2戒指，并且给MC2戒指的一些描述。

简介：在珍视的模糊集合被考虑的间隔的模糊间隔值的伪巧合的概念。事实上，这个概念是在一个模糊集合的一个模糊的点的伪巧合的一个概括概念。由使用这个新概念，作者定义间隔的观点珍视半的模糊h理想包围的()；学习他们的相关性质。另外，作者也与阀值扩大模糊亚群的概念到珍视的间隔的概念模糊与在半戒指的阀值h理想。

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简介：TheauthorusesanalyticmethodstostudythedistributionofintegralidealsandHeckeGrssencharactersinalgebraicnumberfields.Nowak’sresultsonthedistributionofintegralideals,andChandrasekharanandGood’sresultsonthedistributionofHeckeGrssencharactersareimproved.

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：接近的模糊subnear响(理想)的概念被介绍，一些它的相关性质被调查。特别地，在平常的模糊subnear响(理想)之中的关系，(∈，∈∨q)模糊subnear响(理想)和模糊subnear响(理想)近戒指被描述。最后，某描述[μ]t被给借助于(∈，∈∨q)模糊理想。

简介：如果R是与d的特征2的一枚主要戒指，这笔记证明那R和L的推导R的noncentral谎言理想以便[d(u)，u]n是中央的，为所有u鈭吗？L，然后，R必须满足s4，在4个变量的标准身份。R是一枚semiprime戒指的案例被作者也检验。笔记的结果改进Carini和Filippis鈥檚结果。关键词主要戒指-semiprime戒指-谎言理想-推导先生(2000)题目分类16N60-16W25部分由中国博士后的科学基础支持了

简介：我们介绍向上并且向下从徐鈥檚被概括的面向的树图谎言代数学树图谎言代数学，和研究与abelian理想有关的这些代数学的某些数字invariants。关键词Abelian理想-树图-可解决的谎言代数学先生(2000)题目分类17B05-17B30由上海领先的学术纪律工程支持了(工程没有。B407）

简介：Withanewidea,weredefinegeneralizedfuzzysubnear-rings(ideals)ofanear-ringandinvestigatesomeofitsrelatedproperties.Somenewcharacterizationsaregiven.Inparticular,weintroducetheconceptsofstrongprime(orsemiprime)(∈,∈∨q)-fuzzyidealsofnear-rings,anddiscusstherelationshipbetweenstrongprime(orsemiprime)(∈,∈∨q)-fuzzyidealsandprime(orsemiprime)(∈,∈∨q)-fuzzyidealsofnear-rings.

简介：LetKbeanalgebraicnumberfieldoffinitedegreeovertherationalfieldQ,andaK（n）thenumberofintegralidealsinKwithnormn.WhenKisaGaloisextensionoverQ,manyauthorscontributetotheintegralpowersumsofaK（n）,Σn≤xaK（n）l,l=1,2,3,···.Thispaperisinterestedinthedistributionofintegralidealsconcerningdifferentnumberfields.TheauthorisabletoestablishasymptoticformulaefortheconvolutionsumΣn≤xaK1（nj）laK2（nj）l,j=1,2,l=2,3,···,whereK1andK2aretwodifferentquadraticfields.

简介：LetNbeanestofprojectionsonaHilbertspaceHandF(N)bethecorrespondingnestalgebra.LetAbealargesubalgebraofF(N).Itisprovedthatanymaximaln-nilpotentidealofAisintheformofA∩AF,whereFisafinitesubnestofNandRFistheJacobsonradicalofF（F).Usingthisresultcanprovethattwolargesubalgebrasareisomorphicifandonlyifthecorrespondingnestsaresimilar.

简介：Inthispaper,analgorithmforcomputingtheJanetbasesoflineardifferentialequationsisdescribed,whichisthedifferentialanalogueofthealgorithmJanetBasisimprovedbyGerdt.AnimplementationofthealgorithminMapleisgiven.Theimplementedalgorithmincludessomesubalgorithms:Janetdivision,Pommaretdivision,thejudgementofinvolutivedivisorandreducible,thejudgementofconventionaldivisorandreducible,involutivenormalformandconventionalnormalform,involutiveautoreductionandconventionalautoreduction,PJ-autoreductionandsoon.Asanapplication,theJanetBasesofthedeterminingsystemofclassicalLiesymmetriesofsomepartialdifferentialequationsareobtainedusingourpackage.