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It is known that a valuation domain is a principal ideal ring if and only if its prime ideals are principal. Is it a pricipalprincipal ideal ring when itsits unique maximal ideal is principal?
It is known that a valuation domain is a principal ideal ring if and only if its prime ideals are principal. Is it a pricipal ideal when its unique maximal ideal is principal?
It is known that a valuation domain is a principal ideal ring if and only if its prime ideals are principal. Is it a principal ideal ring when its unique maximal ideal is principal?
Is a valuation domain PID when its maximal ideal is principal?
It is known that a valuation domain is a principal ideal ring if and only if its prime ideals are principal. Is it a pricipal ideal when its unique maximal ideal is principal?
