Published in Lobachevskii Journal of Mathematics
Let P → M be a principal G-bundle with m-dimensional basis, where G is a Lie group. Let V be a finite dimensional vector space over R. We describe all canonical (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength...
Published in Lobachevskii Journal of Mathematics
We can see that any semigroup can be considered as a Γ-semigroup. In this paper, we first introduce the relation “η” on ordered Γ-semigroups and prove that for commutative ordered Γ-semigroups, we have the usual relation N is equal to the relation η. It is shown that if M is commutative, then M is, uniquely, an ordered semilattice of archimedean su...
Published in Lobachevskii Journal of Mathematics
It is well known that the right (left) regular, regular, and intra-regular ordered semigroups play an essential role in studying the structure, especially the decomposition, of ordered semigroups. In the present paper we study some more general classes containing the right regular, left regular, regular and intra-regular ordered semigroups. As an a...
Published in Lobachevskii Journal of Mathematics
This article characterizes Berwald, Locally Landsbergian Randers spaces with special non-linear connection.
Published in Lobachevskii Journal of Mathematics
The authors generalize Cartan’s Lemma, a characterization of real space form, for any four orthonormal vector fields (instead of three) for an indefinite K-space.
Published in Lobachevskii Journal of Mathematics
The aim of this paper is to introduce the countable dense homogeneous spaces in bitopological spaces based on (1, 2)α-open sets.
Published in Lobachevskii Journal of Mathematics
Let X be an infinite set and let φ be a given mapping of it into itself. We consider the C*-algebra Cφ(X) with a single generating element Tφ on Hilbert space l2(X). We show that Cφ(X) is isomorphic to C*-algebra generated by a finite set of partial isometries of a special kind if Tφ is continuous. We give the full description of Cφ(X) in case φ is...
Published in Lobachevskii Journal of Mathematics
Sufficient conditions for the existence and uniqueness of T-periodic solutions of Duffing type integro-differential equation with p-Laplacian are presented. The main tool of study is Manasevich-Mawhin continuation theorem.
Published in Lobachevskii Journal of Mathematics
In this article, we defined the Bessel ultra-hyperbolic operator iterated k—times and is defined by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \square _B^k = \lef...
Published in Lobachevskii Journal of Mathematics
Given a von Neumann algebra M with a faithful normal semifinite trace τ, let L(M, τ) be the algebra of all τ-measurable operators affiliated with M. We prove that if A is a locally convex reflexive complete metrizable solid *-subalgebra in L(M, τ), that can be embedded into a locally bounded weak Fréchet M-bimodule, then any derivation on A is inne...
