OpenAI Math·Subject
Algebra
18 of the 372 results in OpenAI's maths catalogue are in algebra. Each page quotes OpenAI's own summary, links the preprints and embeds the animation once it is released.
All 18 results
- 193Serre’s intersection-multiplicity conjecture
- 194Lech’s multiplicity conjectureLean
- 195A counterexample to the small Cohen–Macaulay module conjectureLean
- 196A counterexample to Kaplansky’s zero-divisor conjectureLean
- 197A torsion-free group algebra that is not directly finiteLean
- 198A counterexample to finitistic-dimension finitenessLean
- 199Counterexamples to Auslander–Reiten, Tachikawa and related homological conjecturesLean
- 200Eisenbud–Green–Harris and lex-plus-powers
- 201A counterexample to Kurosh’s division-ring problem
- 202The blockwise Alperin weight conjecture
- 203Donovan's conjecture over fields and complete mixed-characteristic DVRs
- 204Tensor saturation for even spin groups
- 205Saxl’s conjecture and universal tensor squaresLean
- 206Finite lattice representation and undecidabilityLean
- 207The ℓ¹-Bass conjecture for all discrete groupsLean
- 208Finite symmetric tensor categories and the Verlinde tower
- 209Integral counterexamples to Gersten’s conjecture
- 210Foulkes' conjecture for sixth powers and quadratic stabilizationLean
Other subjects
- Theoretical computer science 40
- Combinatorics 37
- Algebraic and complex geometry 36
- Number theory 31
- Differential geometry 29
- Probability and statistical mechanics 29
- Mathematical physics 25
- Operator algebras 19
- Topology 18
- Partial differential equations 16
- Real and complex analysis 16
- Convex and metric geometry 15
- Group theory 14
- Dynamical systems and ergodic theory 12
- Functional analysis 11
- Mathematical logic 6