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Augmented Noetherian Graded Modules, Mashhoor Refai̇
Augmented Noetherian Graded Modules, Mashhoor Refai̇
Turkish Journal of Mathematics
Let $G$ be a multiplicative group with identity $e$, and let $R$ be an associative $G$-graded ring with unity 1. In this paper we study the augmented graded Noetherian modules and try to give some relationships between the Noetherian modules in the category $R-Agr$ and the Noetherian modules in the category $R_e-gr$.
Generalized Solutions Of A Class Of Linear And Quasi-Linear Degenerated Hyperbolic Equations, Rossitza Semerdjieva
Generalized Solutions Of A Class Of Linear And Quasi-Linear Degenerated Hyperbolic Equations, Rossitza Semerdjieva
Turkish Journal of Mathematics
The equation $L(u):=k(y)u_{xx}-\partial_y(\ell(y)u_y)+r(x,y)u=f(x,y,u),$ where $k(y)>0, \ell(y)>0$ for $y>0,k(0)=\ell(0)=0$ and $lim_{y\rightarrow 0}k(y)/\ell(y)$ exists, is strictly hyperbolic for $y>0$ and its order degenerates on the line $y=0$. We consider the boundary value problem $Lu=f(x,y,u)$ in $G, u\mid_{AC}=0$, where $G$ is a simply connected domain in $R^2$ with piecewise smooth boundary $\partial G=AB\cup AC\cup BC; AB=\{(x,0): 0\leq x\leq 1\}, AC : x=F(y) =\int_0^y(k(t)/\ell (t))^{1/2}dt$ and $BC: x=1-F(y)$ are characteristic curves. The existence and uniqueness of a generalized solution to this problem are proved in the linear case (where $f=f(x,y));$ the nonlinear case is treated by using the Schauder Fixed …
The Isometries Of The Bochner Space L^P(\Mu,H), Bahatti̇n Cengi̇z
The Isometries Of The Bochner Space L^P(\Mu,H), Bahatti̇n Cengi̇z
Turkish Journal of Mathematics
In this article, the known characterization of the surjective linear isometries of the Bochner space $L^p(\mu, H)$, for a $\sigma$-finite measure $\mu$ and an arbitrary Hilbert space $H$, in terms of regular set isomorphisms of the $\sigma$-algebra involved and strongly measurable families of surjective isometries of $H$, is extended to arbitrary measures.
Structure Of M-Dimensional Implicitly Defined Surfaces In N-Dimensional Euclidean Space E_N, Alla Borisovna Kotlyar
Structure Of M-Dimensional Implicitly Defined Surfaces In N-Dimensional Euclidean Space E_N, Alla Borisovna Kotlyar
Turkish Journal of Mathematics
We consider the structure of the surface in the given point, if we vary all its normals in this point.
Modular Symmetry Classes Of Tensors, M. Shahryari, M. A. Shahabi
Modular Symmetry Classes Of Tensors, M. Shahryari, M. A. Shahabi
Turkish Journal of Mathematics
We introduce the notion of modular symmetry classes of tensors and give a necessary and sufficient condition for a modular symmetry class of tensors associated with the full symmetric group to be non-zero. Then we use modular symmetry classes of tensors to study the polynomial representations of $GL(V)$, where $V$ is a vector space over a field of characterisitic $p$. At the end we introduce a non-degenerate bilinear form on a modular symmetry class. Some problems are also given.
Two Lemmas On Formal Power Series, Kazim İlhan İkeda, Masatoshi İkeda
Two Lemmas On Formal Power Series, Kazim İlhan İkeda, Masatoshi İkeda
Turkish Journal of Mathematics
Let $L$ be a local field and $\tilde{L}$ the completion of the maximal unramified extension of $L$. In this short note, we prove \noindent (I) the sequences \noindent (1$^{\prime\prime}$) $0\rightarrow {\cal O}_L$[[$X_1,\ldots,X_n$]]$\rightarrow{\cal O}_{\tilde{L}}$[[$X_1,\ldots,X_n$]] $\stackrel{\phi_L-1}{\ra}{\cal O}_{\tilde{L}}$[[$X_1,\ldots,X_n$]]$\rightarrow 0$ \noindent and \noindent (2$^{\prime\prime}$) $1\rightarrow {\cal O}_L$[[$X_1,\ldots,X_n$]]$^x\rightarrow{\cal O}_{\tilde{L}}$[[$X_1,\ldots,X_n$]] $^x\stackrel{\phi_L-1}{\ra}{\cal O}_{\tilde{L}}$[[$X_1,\ldots,X_n$]]$\rightarrow 1$ \noindent are exact, where $\theta_L$ is the Frobenius automorphism over $L$ applied on the coefficients of ${\cal O}_{\tilde{L}}$[[$X_1,\ldots, X_n$]], and $\theta_L-1$ respectively denotes the mapping $\alpha\mapsto\alpha^{\theta L}-\alpha$ for \noindent (1$^{\prime\prime}$) and $\epsilon\mapsto\frac{\epsilon^{\phi}L}{\epsilon}$ for (2$^{\prime\prime}$); \noindent (II) ${\cal C}^{\circ}(\tilde{L},h)$ being the group the Coleman power series of degree 0, the sequence $$ 1\rightarrow {\cal …
A Class Of Banach Algebras Whose Duals Have The Schur Property, H. Mustafayev, A. Ülger
A Class Of Banach Algebras Whose Duals Have The Schur Property, H. Mustafayev, A. Ülger
Turkish Journal of Mathematics
Call a commutative Banach algebra $A$ a $\gamma$-algebra if it contains a bounded group $\Gamma$ such that $\overline{aco(\Gamma)}$ contains a multiple of the unit ball of $A$. In this paper, first by exhibiting several concrete examples, we show that the class of $\gamma$-algebras is quite rich. Then, for a $\gamma$-algebra $A$, we prove that $A^{\star}$ has the Schur property iff the Gelfand spectrum $\sum$ of $A$ is scattered iff $A^{\star}=ap(A)$ iff $A^{\star}=\overline{Span(\sum)}$.
Masatoshi Gündüz İkeda, Mehpare Bi̇lhan
Masatoshi Gündüz İkeda, Mehpare Bi̇lhan
Turkish Journal of Mathematics
No abstract provided.
The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
The Weight Equations For Binary Linear Codes, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda
Turkish Journal of Mathematics
The system of weight equations for a binary $(n, m)$-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-zero words in the code. It is shown that the portion involving the variables does not depend neither on the code nor on the basis. Explicit forms of the matrix of coefficients in the system and its inverse matrix are computed.
A Survey On Drinfeld Modular Forms, Ernst-Ulrich Gekeler
A Survey On Drinfeld Modular Forms, Ernst-Ulrich Gekeler
Turkish Journal of Mathematics
No abstract provided.
On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda
On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda
Turkish Journal of Mathematics
Let $K$ be a local field with finite residue class field and $E$ a finite Galois extension over $K$. In this paper, we study the Artin conductor $\frak f_{\rm Artin}(\chi_\rho)$ of a character $\chi_\rho$ associated to a representation $\rho:\mbox{Gal}(E/K)\rightarrow GL(V)$ of $\mbox{Gal}(E/K)$ with metabelian kernel $\mbox{ker}(\rho)$. In order to do so, we first review the Artin character $a_{\mbox{Gal}(E/K)}$ of $\mbox{Gal}(E/K)$ and review the metabelian local class field theory. We finally propose the definition of the conductor $\frak f(E/K)$ of a metabelian extension $E/K$ in the sense of Koch-de Shalit local class field theory, and compute $\frak f_{\rm Artin}(\chi_\rho)$ under a …
The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden
The Projectivity Of The Fundamental Group Of An Affine Line, Moshe Jarden
Turkish Journal of Mathematics
No abstract provided.
On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher
On The Asymptotic Behavior Of Heegner Points, Jan Nekovar, Norbert Schappacher
Turkish Journal of Mathematics
We prove that all but finitely many Heegner points on a given modular elliptic curve (or, more generally, on a given quotient of the modular Jacobian variety $J_0(N)$) are of infinite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class field.
Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono
Shafarevich-Tate Set For Y^4 = X^4 _ L^2, Takashi Ono
Turkish Journal of Mathematics
No abstract provided.
On Generalized Shioda - Inose Structures, H. Önsi̇per, Si̇nan Sertöz
On Generalized Shioda - Inose Structures, H. Önsi̇per, Si̇nan Sertöz
Turkish Journal of Mathematics
No abstract provided.
Problem Identification And Priority Setting In Agricultural Research: The Case Of The Eastern Margin Of Central Anatolia, Vedat Uzunlu, Ahmet Bayaner, Surendra P. S. Beniwal
Problem Identification And Priority Setting In Agricultural Research: The Case Of The Eastern Margin Of Central Anatolia, Vedat Uzunlu, Ahmet Bayaner, Surendra P. S. Beniwal
Turkish Journal of Agriculture and Forestry
Since the resources available to research institutes are scarce, and experimentation is the most costly phase of a research program, researchers must make sure that the possible solutions to identified problems have a high chance of success. Consequently, problems should be carefully prioritized for experimentation. Factors limiting increased productivity in crop production in the Eastern Margin of Central Anatolia (EMCA) along with agro-ecological factors, apart from political concern, are agronomic constraints. Limiting factors in livestock production are insufficient feed supply, poor conditions of natural grazing areas, and housing of animals. Increasing the adoption rate of the recommended production practices among …
Frequency And Distribution Of Risk Factors Forcoronary Heart Disease In The Adult Populationof Rural District Of Elazığ, Turkey, Yasemi̇n Açik, R. Erol Sezer, Hafi̇ze Sezer
Frequency And Distribution Of Risk Factors Forcoronary Heart Disease In The Adult Populationof Rural District Of Elazığ, Turkey, Yasemi̇n Açik, R. Erol Sezer, Hafi̇ze Sezer
Turkish Journal of Medical Sciences
Objectives: This study was performed to determine the frequency and distribution of risk factors for coronary heart disease in people living in the Baskil district of Elazığ. Methods: From a population of 905 individuals aged 35 years and over, 388 were randomly selected. Selection of subjects was done with official records of the Baskil Health Care Center. Although repeated invitations were made, 32 individuals (29 men and 3 women) did not participate. Thus, 356 subjects were enrolled. Blood cholesterol and blood pressure levels, body height and weight were measured in all study subjects. In addition, a questionnaire was applied. Results: …
Autosomal Dominant Osteopetrosis Type Ii, Kazim Şenel, Si̇nan Sönmez, Lale Cerrahoğlu, Mahi̇r Uğur, Selami̇ Suma
Autosomal Dominant Osteopetrosis Type Ii, Kazim Şenel, Si̇nan Sönmez, Lale Cerrahoğlu, Mahi̇r Uğur, Selami̇ Suma
Turkish Journal of Medical Sciences
No abstract provided.
Neonatal Cerebral Candida Abscess: Radiologic And Clinical Findings, Ömer Cevi̇t, Hulusi̇ Eği̇lmez, Hayri̇ B. Toksoy, Di̇lara İçağasioğlu, Turan Sarikaya, İdri̇s Sütçü
Neonatal Cerebral Candida Abscess: Radiologic And Clinical Findings, Ömer Cevi̇t, Hulusi̇ Eği̇lmez, Hayri̇ B. Toksoy, Di̇lara İçağasioğlu, Turan Sarikaya, İdri̇s Sütçü
Turkish Journal of Medical Sciences
No abstract provided.
Accuracy Of Sphygmomanometers, Okay Başak, Şebnem Karazeybek
Accuracy Of Sphygmomanometers, Okay Başak, Şebnem Karazeybek
Turkish Journal of Medical Sciences
One of the factors affecting the accuracy of readings of blood pressure is the equipment used. Defects or inaccuracy of aneroid sphygmomanometers may be source of error in blood pressure measurement. We inspected 100 sphygmomanometers for physical defects and assessed their accuracy against a standard mercury manometer at four different pressure points. 46 of the 100 sphygmomanometers were determined to be intolerant (deviation from the mercury manometer by greater than±3 mm Hg at two or more of the test points). There were faults in the inflation-deflation system of 34 sphygmomanometers. The most common physical defects were: defective pump bulb, defective …
Very Late Relapse In Hodgkin's Disease, İmdat Di̇lek, Günhan Gürman, Işinsu Kuzu, Seli̇m Erekul
Very Late Relapse In Hodgkin's Disease, İmdat Di̇lek, Günhan Gürman, Işinsu Kuzu, Seli̇m Erekul
Turkish Journal of Medical Sciences
No abstract provided.
Non-Gestational Impetigo Herpetiformis, Teoman Erdem, Ali̇ Karakuzu, Muammer Parlak, Necmetti̇n Akdeni̇z
Non-Gestational Impetigo Herpetiformis, Teoman Erdem, Ali̇ Karakuzu, Muammer Parlak, Necmetti̇n Akdeni̇z
Turkish Journal of Medical Sciences
No abstract provided.
Impedance Characteristics Of Conducting Polypyrrole-Poly(Ethylvinylether) Graft Films, E. Kalaycioğlu, Levent Toppare, T. Grchev, M. Cvetkovska, Y. Yağci
Impedance Characteristics Of Conducting Polypyrrole-Poly(Ethylvinylether) Graft Films, E. Kalaycioğlu, Levent Toppare, T. Grchev, M. Cvetkovska, Y. Yağci
Turkish Journal of Chemistry
Impedance characterization of graft copolymers of poly(2-(N-pyrrolyl)ethylvinylether) and polypyrrole (doped with BF_4^-) was elucidated in comparison with pure polypyrrole doped with BF_4^-.
^{13}C-And ^{31}P-Nmr Study Of Tetracarbonylbis(Diphenylphosphino)Alkanemetal(0) Complexes Of The Group 6 Elements, Zahi̇de Özer, Sai̇m Özkar
^{13}C-And ^{31}P-Nmr Study Of Tetracarbonylbis(Diphenylphosphino)Alkanemetal(0) Complexes Of The Group 6 Elements, Zahi̇de Özer, Sai̇m Özkar
Turkish Journal of Chemistry
Tetracarbonylbis(diphenylphosphino)alkanemetal(0) complexes of the general formula M(CO)_4[(C_6H_5)_2P (CH_2)_nP(C_6H_5)_2] (M: Cr, Mo, W; n: 1, 2, 3) were synthesized from the reaction of M(CO)_4(\eta^{2:2}-1,5-cyclooctadiene) with the appropriate ligand and characterized by means of IR and NMR (^{13}C and ^{31}P) spectroscopy. Spectroscopic data shows that two phosphorus atoms in the complexes are identical and occupy two cis-coordiantion sites in a pseudo-octahedral coordination sphere of the metal. The comparative study of the coordination shift and the ^{31}P-^{13}C coupling constant reveals that two carbonyl groups trans to one of two phosphorus atoms in the diphosphine ligand are shifted toward the lower magnetic field more …