简介：让我是积极合理数字的间隔。然后集合S(I)=T鈭??在T是submonoid的地方?0+，+)由T产生了，是数字semigroup。这些数字semigroups被叫按比例模块化并且能作为形式斧子的Diophantine不平等的整数答案的集合被描绘现代派的b鈮?cx。在这份报纸，我们在我使遭到到S(I)有的条件的最大的间隔的学习感兴趣给定的复合。我们也描绘与这些最大的间隔联系的数字semigroups。关键词数字semigroup-Diophantine不平等-复合-Frobenius数字先生(2000)题目分类11D75-11D04-第一写作的20M14被工程MTM2004-01446和FEDER资金支持；纸被Luso-Espanhola行动HP2004-0056支持

简介：我们学习对Teichmüller空格起作用的模块化的组的亚群的固定的点集合。

简介：Theauthorsconsiderafamilyoffinite-dimensionalLiesuperalgebrasofO-typeoveranalgebraicallyclosedfieldofcharacteristicp>3.ItisprovedthattheLiesuperalgebrasof■-typearesimpleandthespanningsetsaredetermined.ThenthespanningsetsareemployedtocharacterizethesuperderivationalgebrasoftheseLiesuperalgebras.Finally,theassociativeformsarediscussedandacomparisonismadebetweentheseLiesuperalgebrasandothersimpleLiesuperalgebrasofCartantype.

简介：Inthisarticle,wefirstinvestigatethepropertiesofmodularFrobeniusgroups.Then,weconsiderthecasethatG′isaminimalnormalsubgroupofamodularFrobeniusgroupG.WegivethecompleteclassificationofGwhenG′asamodularFrobeniuskernelhasnomorethanfourconjugacyclassesinG.

简介：Bystudyingmodularinvariancepropertiesofsomecharacteristicforms,wegetsomegen-eralizedanomalycancellationformulason（4r-1）-dimensionalmanifoldswithnoassumptionthatthe3rdde-Rhamcohomologyofmanifoldsvanishes.Theseanomalycancellationformulasgeneralizeourpreviousanomalycancellationformulason（4r-1）-dimensionalmanifolds.Wealsogeneralizeourpreviousanomalycancellationformulason（4r-1）-dimensionalmanifoldsandtheHauYurigiditytheoremtothe（a,b）case.

简介：Softsettheoryhasarichpotentialapplicationinseveralfields.Asoftgroupisaparameterizedfamilyofsubgroupsandafuzzysoftgroupisaparameterizedfamilyoffuzzysubgroups.Theconceptoffuzzysoftgroupisthegeneralizationofsoftgroup.AbdulkadirAygunogluandHalisAygunintroducedthenotionoffuzzysoftgroupsin2009[1].Inthispaper,theconceptoflatticeorderedfuzzysoftgroupsanditsdualityhasbeenintroduced.Thendistributiveandmodularlatticeorderedfuzzysoftgroupsareanalysed.Theobjectiveofthispaperistostudythelatticetheoryoverthecollectionoffuzzysoftgroupinaparametricmanner.Somepertinentpropertieshavebeenanalysedandhenceestablisheddualityprinciple.

简介：这篇文章的目的是在theta系列上讨论symplectic转变法律并且为symplectic操作员的踪迹给一些明确的公式。