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
- Evans' Cancellation Theorem
- Unit-regular rings are clean
- Amitsur-Levitzki theorem
- Maschke's Theorem
- Akizuki–Hopkins–Levitzki
- Amitsur's nil radical theorem
- Structure of Noetherian distributive rings
- Uniserial Noetherian rings
- fp-injectivity in serial rings
- Lawrence's theorem on self-injective rings
- Krull's valuation domain theorem
- Kaplansky, Jaffard, Ohm theorem for constructing Bézout domains