Theorem detail

Alias: Evans' Cancellation Theorem

Statement: Let $M$ be a right $R$ module. If the endomorphism ring of $M_R$ has stable range $1$, then $M$ is cancellable from direct sums in $Mod-R$.

Link: http://msp.org/pjm/1973/46-1/pjm-v46-n1-p08-p.pdf

Reference(s)

  • Edward Evans, Krull-Schmidt And Cancellation Over Local Ring, Pacific Journal Of Mathematics 46.1, (1973). 115-121.