Theorems in ring theory

You are now browsing theorems we have on record.

• Artin - Wedderburn theorem
• Wedderburn's little theorem
• Frobenius' theorem
• Jacobson density theorem
• For a right self-injective ring, T.F.A.E. : von Neumann regular, right semihereditary, right Rickart, right Nonsingular, Baer
• 2-primal implies Dedekind finite
• Artinian, Noetherian, semisimple, semiprimitive, primitive are Morita invariant
• OBVIOUS
• A right simple-injective, right Kasch ring is right dual
• Lawrence's theorem on self-injective rings
• Evans' Cancellation Theorem
• Maschke's Theorem
• Unit-regular rings are clean
• Amitsur-Levitzki theorem