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If {\displaystyle M\neq 0}{\displaystyle M\neq 0} has finite projective dimension and {\displaystyle r\in R}r\in R is not a zero divisor on {\displaystyle M}M, then {\displaystyle r}r is not a zero divisor on {\displaystyle R}R. right?
Updated: 2/5/2021
Juniper Nykamp
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Earn +20 ptsQ: If {\displaystyle M\neq 0}{\displaystyle M\neq 0} has finite projective dimension and {\displaystyle r\in R}r\in R is not a zero divisor on {\displaystyle M}M, then {\displaystyle r}r is not a zero divisor on {\displaystyle R}R. right?
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