Database of Ring Theory
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Theorems in ring theory
Categories
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
Characterization of properties
Equivalent characterizations of properties
Camillo's theorem on semihereditary polynomial rings
Characterizations of hereditary rings
Characterizations of quasi-Frobenius rings
Characterizations of right nonsingular rings
Characterizations of right perfect rings
Characterizations of self-injective rings
Characterizations of semiperfect rings
Characterizations of semisimplicity
Characterizations of von Neumann regular rings
Commutative equivalents to von Neumann regularity
Goldie's theorem on semisimple classical quotient rings
Levy's characterization of almost-self-injective Noetherian rings
Ore's theorem on the classical quotient ring of a domain