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1.
Su Jianbing 《数学季刊》1998,(3)
§1. IntroductionIfD1,D2aretwosmoothboundedpseudoconvexdomainsinCn,D1satisfiestheconditionR(see[1]),itiswellknownthatanybiholomorphicmappingf:D1→D2extendssmoothlytotheboundary.Thisresulthasbeengeneralizedtothecasesofproperholomorphicmappings([2]).Inth… 相似文献
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§1. IntroductionIn1995,Mr.XuYang,inhisdoctoraldissertation[1],firstintroducedadoublelattice-or-deredalgebraicstructurecalledl-moduleanddiscusseditsalgebraicandanalyticalproperties,bywhichhedealtwiththeproblemoflattice-valuedgameandsetuptheelementalt… 相似文献
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Inordertostudymanyvaluedlogicsystemandeventhelogicsystembasedonlattice,analgebraicstructure-latticeimplicationalgebrawasintroducedinreference[1].Thestudyoflatticeimplicationalgebraasalgebraicsystemisofindependentinterest.Inreference[2,3]somepropertie… 相似文献
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§0. IntroductionInthepaper[1],KieferandWolfowitzsolvedtheequivalenceofG-optimaldesignandD-optimaldesign.Inthepaper[2],KailinandStuddenstudiedthealgebraicstructuoeofconces-sionaldesign,D-optimalandC-optimaldesign.Inthepaper[3],SpruillstudiedtheC-optim… 相似文献
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Riccati微分方程的可积条件 总被引:6,自引:1,他引:5
In1998,ZhaoLinlong[1]obtainedtheintegrablecondition:R=1αγPe2∫(Q-βD)dx (α,β,γisconst).(1)ForRiccatiequation:y′=p(x)y2+Q(x)y+R(x) (PR≠0).(2) Herethenewintegrableconditionsisgiven:L[y0]=1αγPe2∫(Q+2y0p-βD)dx.(3)L[AB+y0]=1αγ(AB)2L[y0]e2∫(2BAL[y0]+Q+2y… 相似文献
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§1. IntroductionInordertoresearchthelogicalsystemwhosepropositionalvalueisgiveninalatticefromthesemanticviewpoint,wehaveproposedtheconceptoflatticeimplicationalgebrasin[1]andhavediscussedtheirsomeproperties.MV-algebraswereinventedbyC.C.Chang[2]inorde… 相似文献
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§1. IntroductionRecently,thesemilinearellipticequations△u+f(u)=0(1.1)u(x)→0as|x|→∞(1.2)inRnwereconsideredwidely(see[1]-[7]).Inthenicepapers[1]and[2],itwasprovedthatanypositivesolutionof(1.1)mustberadialincasef(u)∈C1+δ(δ>0).Therefore,anypositivesoluti… 相似文献
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§1. IntroductionAlocallyintegrablefunctionf(x)belongstoLipα(Rn),ifthereisaconstantC,suchthatforeveryx,y∈Rn|f(x)-f(y)|≤C|x-y|α ThesmallestconstantCsatisfiesaboveiscalledLipschitznormoffandisdenotedbyyfy∧α.By[1],f∈Lipα(Rn)equivalenttof∈εα,2,whereεα,2=… 相似文献
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Byfolowingmechanism:AaαX,CcαY,B+XbαY+D,X+Yeα3Y,YfαF,XλαF,article[1]obtainedthefolowingsystem:x=a-bx-exy2-λx,y=bx+exy2-fy+c.(1... 相似文献
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郑乃峰 《纯粹数学与应用数学》2013,(1):11-18
设H为弱Hopf代数,C为弱右H-模余代数,令C=C/C·ker L.利用Smash余积来研究弱模余代数上的结构定理,并给出了C与C×H作为余代数同构的条件. 相似文献
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In this paper, we construct a cocylindrical object associated to two coal-gebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduct c... 相似文献
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In this paper, the notion of L-R crossed coproduct is introduced as a unified approach for smash coproducts, crossed coproducts and L-R smash coproducts of Hopf algebras. A duality theorem for L-R crossed coproduct is proved. 相似文献
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In this paper we mainly give Maschke-type theorems for weak smash coproduct coalgebras which simultaneously show how to deal with the complicated computations of weak smash coproduct coalgebras. 相似文献
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Majid in [14] and Bespalov in [2] obtain a braided interpretation of Radford’s theorem about Hopf algebras with projection ([19]). In this paper we introduce the notion of H-cleft comodule (module) algebras (coalgebras) for a Hopf algebra H in a braided monoidal category, and we characterize it as crossed products (coproducts). This allows us give very short proofs for know results in our context, and to introduce others stated for the category of R-modules about of Hopf algebra extensions. In particular we give a proof of the result by Bespalov [2] for a braided monoidal category with co(equalizers). 相似文献
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《代数通讯》2013,41(10):5169-5177
Abstract We prove new characterizations of Quasi-co-Frobenius (QcF) coalgebras and co-Frobenius coalgebras. Among them, we prove that a coalgebra is QcF if and only if C generates every left and every right C-comodule. We also prove that every QcF coalgebra is Morita-Takeuchi equivalent to a co-Frobenius coalgebra. 相似文献
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《代数通讯》2013,41(11):5653-5671
Abstract In this paper we construct a cylindrical module A ? ? for an ?-comodule algebra A, where the antipode of the Hopf algebra ? is bijective. We show that the cyclic module associated to the diagonal of A ? ? is isomorphic with the cyclic module of the crossed product algebra A ? ?. This enables us to derive a spectral sequence for the cyclic homology of the crossed product algebra. We also construct a cocylindrical module for Hopf module coalgebras and establish a similar spectral sequence to compute the cyclic cohomology of crossed product coalgebras. 相似文献