Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:alternativeName |
non-Euclidean_geometry
noncommutative_algebra |
| gptkbp:appliesTo |
mathematical physics
representation theory operator algebras |
| gptkbp:contrastsWith |
gptkb:commutative_algebra
|
| gptkbp:hasConcept |
gptkb:algebra
gptkb:model gptkb:Artin–Wedderburn_theorem gptkb:Artinian_ring gptkb:Lie_group gptkb:Azumaya_algebra gptkb:Jacobson_radical gptkb:Amitsur–Levitzki_theorem gptkb:Goldie’s_theorem gptkb:Jacobson_density_theorem gptkb:Morita_equivalence gptkb:Wedderburn-Artin_theorem gptkb:representation_theory_of_algebras gptkb:structure_theorem_for_semisimple_rings gptkb:Ore_extension gptkb:Skolem–Noether_theorem Noetherian ring noncommutative ring enveloping algebra quaternion algebra PI ring bimodule center of a ring crossed product algebra division ring free algebra group algebra noncommutative Gröbner basis noncommutative invariant theory noncommutative localization noncommutative projective geometry path algebra primitive ring semisimple ring simple ring skew field |
| gptkbp:includes |
noncommutative geometry
noncommutative ring theory noncommutative group theory |
| gptkbp:relatedTo |
gptkb:Lie_algebras
associative algebras quantum groups |
| gptkbp:studies |
algebraic structures where multiplication is not commutative
|
| gptkbp:bfsParent |
gptkb:Hartland_Snyder
|
| gptkbp:bfsLayer |
4
|