弱投射模与相伴弱投射模

Weak projective module and adjoint weak projective module

引进了弱投射模的概念,并在弱投射模上讨论了Schanuel引理;同时,在弱投射模上定义了弱投射维数及弱整体维数,给出了弱投射维数为0和1时对模的刻画;最后,在弱投射模的基础上定义了相伴弱投射模,并得到相伴弱投射模的一些性质.

It was extended the concept of weak projective module and introduced the concept of weak projective module, the Schanuel lemma on weak projective module was discussed, the weak projective dimension and weak global dimension was defined, and the characteristics of the modules were discussed for weak projective dimension 0 and 1. Based on the weak projective module, the adjoint weak projective module was introduced and some properties of the adjoint weak projective module were obtained.