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).
简介:利用Dedekind整环上的Going-up定理,得到了整域上的Going-down定理,并且给出了证明.
简介:LowcarbonsteelswithBandPadditionswereremeltedbyelectromagneticlevitationandsolidifiedinavacuumdroptube.Thedropletvolumesweresettobe2mm×2mm×2mm(TM)and5mm×5mm×5mm(FM),respectively.Themicrostructureofrapidlysolidifiedsteeldroplets(cooledinsiliconoil)withPandbothBandPadditionwasobserved.ThemicrostructuresofB-bearingdropletsamplesweremoreuniformthanthoseofB-freeones,forbothTMandFMsamples.Thedistributionof℃andPalongthediameterofeachsamplewasdetected.Thewell-distributionof℃andPwasdetectedinB-bearingdropletsamples.SoitcouldbededucedthatBwasalsowelldistributedinthesteels.ItwasBatomsthatpromotedthewell-distributionof℃andP,whichfurtherimprovedtheuniformityofmicrostructureundertheconditionofrapidsolidification.Themicro-hardnessofBbearingsampleswashigherthanthatofB-freesamples,andthehardeningmechanismwasdiscussedindetail.