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.
If $R$ is an integral domain, then every proper ideal factors into primes if and only if every submodule of a projective module is projective.
If $R$ is an integral domain, then every ideal factors into primes if and only if every submodule of a projective module is projective.