. N A ] 3 1 Ja n 20 03 On a new notion of regularizer ∗ † A . G . Ramm

On a new notion of regularizer

A new understanding of the notion of regularizer is proposed. It is argued that this new notion is more realistic than the old one and better fits the practical computational needs. An example of the regularizer in the new sense is given. A method for constructing regularizers in the new sense is proposed and justified. PACS numbers: 02.30.Tb, 02.60.Jh Mathematics Subject Classification: 47A52,...

ar X iv : h ep - t h / 03 01 12 7 v 1 1 7 Ja n 20 03 Supersymmetry in Spaces of Constant Curvature

On the Finite Groupoid G(n)

In this paper we study the existence of commuting regular elements, verifying the notion left (right) commuting regular elements and its properties in the groupoid G(n). Also we show that G(n) contains commuting regular subsemigroup and give a necessary and sufficient condition for the groupoid G(n) to be commuting regular.

On the topological equivalence of some generalized metric spaces

‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about topological vector spaces‎. ‎We see that the known results on‎ ‎cone $S$-metric spaces (or $N$-cone metric spaces) can be directly obtained‎ from...

Ja n 20 03 On integration of some classes of ( n + 1 ) dimensional nonlinear Partial Differential

The paper represents the method for construction of the families of particular solutions to some new classes of (n + 1) dimensional nonlinear Partial Differential Equations (PDE). Method is based on the specific link between algebraic matrix equations and PDE. Admittable solutions depend on arbitrary functions of n variables.