Ring theory MOC

Commutative ring

A commutative ring (K, ⋅, +) is a ring for which the multiplication operation ( ⋅) is commutative. #m/def/ring

Results

• A maximal ideal in a commutative ring is prime
• 𝑅/𝐼 for commutative 𝑅 is a field iff 𝐼 is maximal
• Krull dimension

See also

• K𝖬𝗈𝖽

#state/tidy | #lang/en | #SemBr