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In1969,Sweedler[1]giventhedecompositiontheoreyofcoalgebraswhicharecocommu-tative.In1975,Kaplansky[2]showedthatanycoalgebracanbeuniquelydecomposedintoadirectsumofitsindecomposablesubcoalgebras.From1978to1992,Shudo[3]andXu[4]consructuredtheindecomposabledirectsumcomponentsofacoalggebra,viadefineequivalenceralationforthesetofsimplesubcoalgebras.Asweknow,themodolecoalgebraisthennaturalgeneralizationofcoalgebra.AndittakesplayanimportentroleintheDrinfelddouble.Inthispaper,wediscussthedecompositio… 相似文献
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§1. TheEquivalentTheoremoftheCrossedCoproductLetCbealeftH-weaklycomodulecoalgebra[4]withthestructureρ-C(c)=∑c(1)c(2).DbeleftH-modulecoalgebra[2]withthestructure“”.Forα∈Homκ(C,HH)denoteα(c)=∑α1(c)α2(c).Define△-:CD→(CD)(CD)andε-:CD→κasfollow-i… 相似文献
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