Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
$A$ a Gorenstein ring, $M\neq 0$ a finite $A$-module with finite injective dimension. According to BrunBruns, this implies that $M$ has finite projective dimension. How do I see that?
$A$ a Gorenstein ring, $M\neq 0$ a finite $A$-module with finite injective dimension. According to Brun, this implies that $M$ has finite projective dimension. How do I see that?
$A$ a Gorenstein ring, $M\neq 0$ a finite $A$-module with finite injective dimension. According to Bruns, this implies that $M$ has finite projective dimension. How do I see that?
$A$ a Gorenstein ring, $M\neq 0$ a finite $A$-module with finite injective dimension. According to Brun, this implies that $M$ has finite projective dimension. How do I see that?