【摘要】 本文定义更具一般性的模(未必是有限生成投射模)的常秩的概念,并证明了如果M有常秩n,∧~n M是有限生成的,则M是有限生成的,还证明了若M是有常秩n的投射模,则M一定是有限生成的。更多还原

【Abstract】 In this note we define the notion of the constant rank of modules(not necessarily finitely generated projective modules)and prove that if M is of constant rank n and∧~n M is finitely generated, then M is finitely generated,and that if M is a projective module of constant rank n,then M is finitely generated.更多还原