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Israel Journal of Mathematics | 1992

On periodic compact groups

Efim Zelmanov

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


Journal of Algebra and Its Applications | 2012

LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION

Adel Alahmadi; Hamed H. Alsulami; S. K. Jain; Efim Zelmanov

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


Memoirs of the American Mathematical Society | 2001

Graded simple Jordan superalgebras of growth one

Victor G. Kac; Consuelo Martínez; Efim Zelmanov

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


Archive | 2000

On Groups Satisfying the Golod—Shafarevich Condition

Efim Zelmanov

A


Proceedings of the National Academy of Sciences of the United States of America | 2003

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

Consuelo Martínez; Efim Zelmanov

is a loop algebra


Journal of Pure and Applied Algebra | 1995

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

J. Marshall Osborn; Efim Zelmanov

J


Canadian Mathematical Bulletin | 2002

Specializations of Jordan Superalgebras

Consuelo Martínez; Efim Zelmanov

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


Archive | 2003

Idempotents in Conformal Algebras

Efim Zelmanov

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).


Proceedings of the National Academy of Sciences of the United States of America | 2013

Structure of Leavitt path algebras of polynomial growth

Adel Alahmedi; Hamed H. Alsulami; S. K. Jain; Efim Zelmanov

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


Transactions of the American Mathematical Society | 2009

Representation theory of Jordan superalgebras I

Consuelo Martínez; Efim Zelmanov

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.

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