Theorems in ring theory

• All theorems
• (Uncategorized)
• About ideals
• Characterization of properties
• Connections with dimensions
• Connections with modules
• Connections with rings of quotients
• Properties of constructions
• Properties of special subsets
• Structure/splitting theorems

• 2-primal implies Dedekind finite
• A right simple-injective, right Kasch ring is right dual
• Amitsur-Levitzki theorem
• Conditions equivalent to von Neumann regularity in self-injective rings
• fp-injectivity in serial rings
• Lawrence's theorem on self-injective rings
• Unit-regular rings are clean