Matematik Bölümü
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Riesz Uzayları Üzerinde Tanımlı Sıra Kompakt ve Sınırsız Sıra Kompakt Operatörler
(Fen Bilimleri Enstitüsü, 2020-08-28)Order convergence and unbounded order convergence are not topological terms on Riesz space. On the other hand, compact operatör takes an important place in functional analysis. In this thesis, we investigate order compact ... -
Some Results on Operator Theory Based on Unbounded Convergence
(Fen Bilimleri Enstitüsü, 2020-08-31)Main topic of the this work is to use the notion of unbounded convergences on vector lattices to derive properties of various classes of operators and nets of operators defined between vector lattices, Banach lattices, and ... -
The Injective Profile of a Ring and its Effect on the Structure of Rings
(Fen Bilimleri Enstitüsü, 2020)This thesis is partly based on recent developments on the subject of what is known as “injectivity domains” in the theory of modules over rings with identity. The subject was suggested as a measurement of how far a module ... -
Genelleştirilmiş Splinelar Teorisi
(Fen Bilimleri Enstitüsü, 2020)Let $R$ be a commutative ring with identity and $G=(V,E)$ be a finite graph, where $V$ is a set of elements of vertices and $E$ is a set of elements of edges. A map $ \alpha : E \to \{\text{ideals in R}\}$ is called ... -
Geometric Structures on Riemann Surfaces and Reidemeister Torsion
(Fen Bilimleri Enstitüsü, 2020)Let Σ be a closed orientable surface of genus at least 2 and Rep(Σ,G) be the smooth part of the representation variety of homomorphisms' conjugation classes from fundamental group of Σ to Lie group G. In this thesis, ... -
Long-Time Dynamics of the Parabolic P-Laplacian Equation
(Amer Inst Mathematical Sciences, 2013)In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic p-Laplacian equation with variable coefficients. Under the mild conditions on the coefficient of the principal part and without ... -
On Existence And Nonexistence Of The Positive Solutions Of Non-Newtonian Filtration Equation
(Amer Inst Mathematical Sciences, 2011)The subject this investigation is existence and nonexistence of positive solutions of the following nonhomogeneous equation rho(vertical bar x vertical bar) partial derivative u/partial derivative t - Sigma(N)(i=1) ... -
On Hollow-Lifting Modules
(Mathematical Soc Rep China, 2007)Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N of M such that M/N is hollow has a coessential submodule that is a direct summand of M. We prove that every amply supplemented ... -
On Dual Baer Modules
(Cambridge Univ Press, 2010)In this paper we introduce T-non-cosingular modules, dual Baer modules and K-modules. We prove that a module M is lifting and T-non-cosingular if and only if it is a dual Baer and K-module. Rings for which all modules are ... -
On Cls-Modules
(Rocky Mt Math Consortium, 1995) -
On Artinian Rings With Restricted Class Of Injectivity Domains
(Academic Press Inc Elsevier Science, 2013)In a recent paper of Alahmadi, Alkan and Lopez-Permouth, a ring R is defined to have no (simple) middle class if the injectivity domain of any (simple) R-module is the smallest or largest possible. Er, Lopez-Permouth and ... -
On Approximations Of The De Rham Complex And Their Cohomology
(Taylor & Francis Inc, 2018)For a commutative algebra R, its de Rham cohomology is an important invariant of R. In the paper, an infinite chain of de Rham-like complexes is introduced where the first member of the chain is the de Rham complex. The ... -
On Almost Contractions In Partially Ordered Metric Spaces Via Implicit Relations
(Springeropen, 2012)In this paper, we prove general fixed point theorems for self-maps of a partially ordered complete metric space which satisfy an implicit type relation. Our method relies on constructive arguments involving Picard type ... -
On An Application Of Generalized Semi-Infinite Optimization
(Polish Acad Sciences Inst Physics, 2016)Generalized semi-infinite optimization problems are optimization problems having infinitely many constraints. In addition, the infinite index set depends on the decision variable of optimization. In this study, as an ... -
A Note on Ads* Modules
(Springer Basel Ag, 2012)We study the ADS* modules which are the dualizations of ADS modules studied by Alahmadi et al. ( J Algebra 352: 215-222, 2012). Mainly we prove that an amply supplemented module M is ADS* if and only if M-1 and M-2 are ... -
On A Generalization Of Behavior Spaces And The Riemann-Roch Theorem On Open Riemann Surfaces
(Kinokuniya Co Ltd, 1981) -
On A Class Of Semicommutative Rings
(2011)
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