Theorem

Camillo's theorem on semihereditary polynomial rings

For a commutative ring $R$, the polynomial ring $R[x]$ is semihereditary iff $R$ is von Neumann regular.

Link: https://www.ams.org/journals/proc/1974-045-02/S0002-9939-1974-0352165-2/S0002-9939-1974-0352165-2.pdf

Reference(s)

  • V. P. Camillo. Semihereditary polynomial rings. (1974) @ Main theorem