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A new method is suggested for obtaining the exact and numerical solutions of the initial-boundary value problem for a nonlinear parabolic type equation in the domain with the

n , 1) maps the space of all homogeneous elements of degree n of an arbitrary free associative algebra onto its subspace of homogeneous Lie elements of degree n. A second

Key words and phrases: rooted trees, Lie-admissable algebras, right-symmetric algebras, Novikov algebras, vector fields algebras, identities, free basis..  c 2002, Askar

In this paper the classes of groups we will be interested in are the following three: groups of the form F k o α Z for F k a free group of finite rank k and α an automorphism of F k

Using this characterization, we prove that two covering blocks (which in the distributive case are maximal Boolean intervals) of a free bounded distributive lattice intersect in

Abstract: Given a principal ideal domain R of characteristic zero, containing 1/2, and a connected differential non-negatively graded free finite type R-module V , we prove that

Dive [D] proved a converse of Newton’s theorem: if Ω contains 0, and is strongly star-shaped with respect to 0, and for all t > 1 and sufficiently close to 1, the uniform

It is known that if the Dirichlet problem for the Laplace equation is considered in a 2D domain bounded by sufficiently smooth closed curves, and if the function specified in the