Algebra problems
This area contains 57 revision-pinned source placements and 2 reviewed canonical dossiers. Placements may include aliases or duplicate claims.
Reviewed dossiers
Source placement records
- Birch–Tate conjecture
- Casas-Alvero conjecture
- Connes embedding problem in Von Neumann algebra theory
- Crouzeix's conjecture
- Determinantal conjecture on the determinant of the sum of two normal matrices.
- Eilenberg–Ganea conjecture
- Farrell–Jones conjecture on whether certain assembly maps are isomorphisms.
- Bost conjecture
- Finite lattice representation problem
- Goncharov conjecture on the cohomology of certain motivic complexes.
- Green's conjecture
- Grothendieck–Katz p-curvature conjecture
- Hadamard conjecture
- Williamson conjecture
- Hadamard's maximal determinant problem
- Hilbert's fifteenth problem
- Hilbert's sixteenth problem
- Homological conjectures in commutative algebra
- Jacobson's conjecture
- Köthe conjecture
- Monomial conjecture on Noetherian local rings
- Existence of perfect cuboids and associated cuboid conjectures
- Pierce–Birkhoff conjecture
- Rota's basis conjecture
- Serre's conjecture II
- Serre's positivity conjecture
- Uniform boundedness conjecture for rational points
- Wild problems
- Zariski–Lipman conjecture
- Zauner's conjecture
- Andrews–Curtis conjecture
- Bounded Burnside problem
- Guralnick–Thompson conjecture on the composition factors of groups in genus-0 systems
- Herzog–Schönheim conjecture
- The inverse Galois problem
- Leinster groups
- finitely presented
- sofic
- Problems in loop theory and quasigroup theory consider generalizations of groups
- Dade's conjecture
- Demazure conjecture on representations of algebraic groups over the integers.
- Kazhdan–Lusztig conjectures
- McKay conjecture
- Dixmier conjecture
- Mazur's conjecture B (Vessilin Dimitrov, Ziyang Gao, and Philipp Habegger, 2020)
- Suita conjecture (Qi'an Guan and Xiangyu Zhou, 2015)
- Carlitz–Wan conjecture (Hendrik Lenstra, 1995)
- Serre's nonnegativity conjecture (Ofer Gabber, 1995)