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Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators

Soltanov, Kamal N. (Springer International Publishing Ag, 2007)

Some properties of the linear continuous operator and separation of convex subsets are investigated in this paper and a dual space for a subspace of a reflexive Banach space with a strictly convex norm is constructed. Here ...

Rings Close to Semiregular

Aydoğdu, Pınar; Lee, Yang; Ozcan, A. Cigdem (Korean Mathematical Soc, 2012)

A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the Jacobson radical of R. We give some characterizations of rings R such that idempotents lift modulo J, and R/J satisfies ...

Rings Whose Cyclic Modules Are Direct Sums Of Extending Modules

Aydogdu, Pınar; Er, Noyan; Ertas, Nil Orhan (Cambridge Univ Press, 2012)

Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Every cyclic right module is a direct sum of uniform modules. We first prove the following improvement of the well-known ...

Rings Whose Modules Are Circle Plus-Supplemented

Keskin, D; Smith, PF; Xue, WM (Academic Press Inc, 1999)

We prove that a ring R is serial if and only if every finitely presented right and left R-module is circle plus-supplemented, and that R is artinian serial if and only if every right and left R-module is circle plus-supplemented. ...

Rings Whose Pure-Injective Right Modules Are Direct Sums of Lifting Modules

Guil Asensio, Pedro A.; Tutuncu, Derya Keskin (Academic Press Inc Elsevier Science, 2013)

It is shown that every pure-injective right module over a ring R is a direct sum of lifting modules if and only if R is a ring of finite representation type and right local type. In particular, we deduce that every left ...

Second-Order Integrals for Systems in E-2 Involving Spin

Yurdusen, Ismet (Hindawi Publishing Corporation, 2015)

In two-dimensional Euclidean plane, existence of second-order integrals of motion is investigated for integrable Hamiltonian systems involving spin (e.g., those systems describing interaction between two particles with ...

Selection Properties Of Texture Structures

Kocinac, Ljubisa D. R.; Ozcag, Selma (Elsevier Science Bv, 2015)

The aim of this paper is to begin with study of selection principles in texture and ditopological texture spaces and to establish relationships between these selection principles and other covering properties of texture ...

Semi-Interior and Semi-Closure of A Fuzzy Set

YALVAC, TH (Academic Press Inc Jnl-Comp Subscriptions, 1988)

Semi-Sequentially Normal Bitopological Spaces

Brown, LM (Elsevier Science Bv, 1992)

In this paper we introduce a weak form of full normality for bitopological spaces, and consider its relationship to pairwise paracompactness in the sense of S. Romaguera and J. Marin, and to the notion of sigma-bicushioned ...

Semigroup Well-Posedness Of A Linearized, Compressible Fluid With An Elastic Boundary

Avalos, George; Geredeli, Pelin G.; Webster, Justin T. (Amer Inst Mathematical Sciences-Aims, 2018)

We address semigroup well-posedness of the fluid-structure interaction of a linearized compressible, viscous fluid and an elastic plate (in the absence of rotational inertia). Unlike existing work in the literature, we ...

Semiregular Modules With Respect To A Fully Invariant Submodule

Alkan, M; Ozcan, AC (Marcel Dekker Inc, 2004)

Let M be a left R-module and F a submodule of M for any ring R. We call M F-semiregular if for every x is an element of M, there exists a decomposition M = A circle plus B such that A is projective, A less than or equal ...

Sequentially Dinormal Ditopological Texture Spaces And Dimetrizability

Brown, Lawrence M.; Erturk, Riza; Irkad, Ahmet (Elsevier Science Bv, 2008)

The authors extend the bitopological notion of sequential normality to ditopological texture spaces, and use this notion to state and prove a (pseudo-)dimetrizability theorem. (C) 2008 Elsevier B.V. All rights reserved.

Series Solution of Nonlinear Two-Point Singularly Perturbed Boundary Layer Problems

Turkyilmazoglu, M. (Pergamon-Elsevier Science Ltd, 2010)

The present paper is concerned with the approximate analytic series solution of the nonlinear two-point second-order singularly perturbed boundary value problems. In place of the traditional numerical, perturbation or ...

Smooth Attractors Of Finite Dimension For Von Karman Evolutions With Nonlinear Frictional Damping Localized In A Boundary Layer

Geredeli, Pelin G.; Lasiecka, Irena; Webster, Justin T. (Academic Press Inc Elsevier Science, 2013)

In this paper dynamic von Karman equations with localized interior damping supported in a boundary collar are considered. Hadamard well-posedness for von Karman plates with various types of nonlinear damping are well known, ...