Scientists / Open questions
Efim Zelmanov
Group theory; Lie algebras; nonassociative algebra
1994 Fields Medal
8 questions
Finite exponent of compact torsion groups (bounded exponent of periodic compact groups)
Stable nil algebras of finite Gelfand–Kirillov dimension and the completion of stability-preserving embedding theorems
Is the endomorphism ring of a finitely generated module over an affine Noetherian PI-ring a Jacobson ring, and must the center of such a ring be Jacobson?
Classifying filtered deformations and the completion identification for the type I and integer-parameter type IV Novikov prototypes of Osborn-Zelmanov
Extensions, automorphisms, and involutions of Leavitt path algebras of polynomial growth: completing the ideal-chain structure theory
Speciality of Kantor doubles of Jordan brackets: sufficiency of Shestakov's identity (4)
Indecomposable finite-dimensional unital bimodules over the Jordan superalgebra , the unitization of the Kaplansky superalgebra
Zelmanov's Conjecture 4.11: is the linearized algebra of a quadratic Jordan PI-algebra nil of bounded index in characteristic ?