MODULE LE27 EVERY HOMOMORPHIC IMAGE OF NOETHERIAN MODULE IS NOETHERIAN MSc @mathseasysolution1913

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Noetherian ModuleNoetherian Module
(part b)direct product of noetherian modules is noetherian and sum of noetherian sub.is noetherian.(part b)direct product of noetherian modules is noetherian and sum of noetherian sub.is noetherian.
if M is noetherian then prove that every submodule of M is noetherian.if M is noetherian then prove that every submodule of M is noetherian.
if submodule and quotient module of M is noetherian then prove M is noetherian.if submodule and quotient module of M is noetherian then prove M is noetherian.
Converse Theorem : If N is submodule of M s.t. N & M/N are noetherian, then M is also NoetherianConverse Theorem : If N is submodule of M s.t. N & M/N are noetherian, then M is also Noetherian
Northerian module-1Northerian module-1
if every submodule of M is f.g then prove M is noetherianif every submodule of M is f.g then prove M is noetherian
Instantons, indefinite cobordisms, and Dehn surgery.Instantons, indefinite cobordisms, and Dehn surgery.