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PDF-2.6ExactSequencesLetAbearing.Asequence(possiblyin niteinoneorbothdirec PDF document

andexactifitisexactatMjforalljNotationWrite0f0g ThenforanymoduleMthereareuniquemodulehomomorphisms0M070 and346 M0m708m2M ineachcasecalledthezerohomomorphismalsodenotedby0Specialcases1

andexactifitisexactatMjforallj.Notation:Write0=f0g. ThenforanymoduleMthereareuniquemodulehomomorphisms0!M;07!0 and346 M!0;m7!08m2M ineachcasecalledthezerohomomorphism alsodenotedby0.Specialcases:(1)

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