Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
gptkb:mathematical_concept |
| gptkbp:contrastsWith |
commutative ring theory
|
| gptkbp:focusesOn |
rings where ab ≠ ba in general
|
| gptkbp:hasApplication |
gptkb:algebraic_geometry
coding theory cryptography functional analysis mathematical physics quantum mechanics |
| gptkbp:hasSubfield |
ring theory
|
| gptkbp:hasTextbook |
A First Course in Noncommutative Rings by T.Y. Lam
Lectures on Modules and Rings by T.Y. Lam Noncommutative Rings by I.N. Herstein Structure of Rings by Nathan Jacobson Rings and Categories of Modules by Frank W. Anderson and Kent R. Fuller |
| https://www.w3.org/2000/01/rdf-schema#label |
Noncommutative ring theory
|
| gptkbp:notablePerson |
gptkb:Claude_Chevalley
gptkb:Emmy_Noether gptkb:Irving_Kaplansky gptkb:Nathan_Jacobson gptkb:Richard_Brauer gptkb:John_G._Thompson gptkb:Joseph_Wedderburn gptkb:Pierre_Gabriel gptkb:George_Bergman |
| gptkbp:relatedTo |
representation theory
associative algebras homological algebra module theory noncommutative algebraic geometry |
| gptkbp:studies |
gptkb:C*-algebras
gptkb:Hopf_algebras gptkb:Noetherian_rings gptkb:Artinian_rings gptkb:Azumaya_algebras gptkb:Jacobson_radical gptkb:Goldie’s_theorem gptkb:Morita_equivalence gptkb:Wedderburn-Artin_theorem gptkb:von_Neumann_algebras algebraic structures quantum groups Ore condition semisimple rings center of a ring ring homomorphisms crossed product algebras noncommutative rings group rings division rings matrix rings simple rings enveloping algebras PI rings prime rings primitive rings skew polynomial rings |
| gptkbp:bfsParent |
gptkb:Left_ideal
|
| gptkbp:bfsLayer |
7
|