等價(jià)關(guān)系在近世代數(shù)中的地位和作用

1、邢臺(tái)學(xué)院2011屆本科畢業(yè)論文1本科畢業(yè)論文論文題目：論文題目：等價(jià)關(guān)系在近世代數(shù)中的地位和作用姓名：名：郝曉玉學(xué)號(hào)：號(hào)：2007051132系（部）：系（部）：數(shù)學(xué)系專業(yè)：業(yè)：數(shù)學(xué)與應(yīng)用數(shù)學(xué)班級(jí)：級(jí)：2007級(jí)1班指導(dǎo)教師：指導(dǎo)教師：李秀平邢臺(tái)學(xué)院2011屆本科畢業(yè)論文3AbstractWefirstdiscusstherelationofequivalencerelationsetclassificationthensyntheti

2、callyanalyzetherelationsofequivalencerelationcosetsubgroupquotientgroupetc.Finallyweintroducethequotientgrouptheremainderplusgroupofmouldnwhichareestablishedbytheequivalencerelation.Keywds:EquivalencerelationGroupCosetQu

3、otientgroupManyconceptrelationsareequivalenceinadvancedalgebrasuchassimilarrelationsofmatrixcontractrelationstheequivalenceofmatrix.whileinmodernalgebraequivalencerelationismegeneralabstractplaysaveryimptantroleaswell.Wh

4、enthisgeneralconceptisusedintheyofgroupwecangetcosettheconceptofquotientgroup.Whenagroupisclassifiedbyequivalencerelationwecangetnaturalhomomphismwhichisalsotherudimentoffundamentaltheemofhomomphism.ringtheyequivalentrel

5、ationarecloselylinked.Therefeequivalentrelationisofimptantsignificanceinmodernalgebraiswidelyused.Someexamplescanbeusedtostrengthenthecomprehensionofequivalentrelationtheproofofcosetsrelevantproperties.Thestatusimptanceo