Efim Zelmanov

On periodic compact groups

It is proved that a periodic pro-p-group is locally finite.

LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION

Groebner–Shirshov Basis and Gelfand–Kirillov dimension of the Leavitt path algebra are derived.

Graded simple Jordan superalgebras of growth one

Introduction Structure of the even part Cartan type Even part is direct sum of two loop algebras

On Groups Satisfying the Golod—Shafarevich Condition

A

Lie superalgebras graded by P(n) and Q(n)

is a loop algebra

Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations

J

Specializations of Jordan Superalgebras

is a finite dimensional Jordan superalgebra or a Jordan superalgebra of a superform The main case Impossible cases Bibliography.

Idempotents in Conformal Algebras

In [2], E. S. Golod and I.R. Shafarevich found a sufficient condition for a pro-p Groups presented by generators and relators to be infinite. In the same volume of Izvestia, this criterion was applied to the solution of two outstanding problems: the construction of an infinite tower of class fields (by I. R. Shafarevich) and the construction of a counterexample to the General Burnside Problem (by E. S. Golod).

Structure of Leavitt path algebras of polynomial growth

In this article we study Lie superalgebras graded by the root systems P (n) and Q(n).

Representation theory of Jordan superalgebras I

Abstract The main result in this paper is the classification of simple Novikov algebras A with a maximal subalgebra H such that A H has a finite-dimensional irreducible H-submodule. A second result deals with the extension of Hamiltonian operators.