University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
06
30
On Rad-H-supplemented Modules
1
9
EN
Y.
Talebi
Department of Mathematics, University of Mazandaran, Babolsar, Iran
talebi@umz.ac.ir
M.
Mirkarim
Department of Mathematics, University of Mazandaran, Babolsar, Iran
mirkarim@umz.ac.ir
Let M be a right R-module. We call M Rad-H-supplemented iffor each Y M there exists a direct summand D of M such that(Y + D)/D (Rad(M) + D)/D and (Y + D)/Y (Rad(M) + Y )/Y .It is shown that:(1) Let M = M1M2, where M1 is a fully invariant submodule of M.If M is Rad-H-supplemented, thenM1 andM2 are Rad-H-supplemented.(2) Let M = M1 M2 be a duo module and Rad--supplemented. IfM1 is radical M2-sejective (or M2 is radical M1-sejective), then M isRad-H-supplemented. (3) Let M = ni=1Mi be a finite direct sum ofmodules. If Mi is generalized radical Mj-projective for all j > i andeach Mi is Rad-H-supplemented, then M is Rad-H-supplemented.
Rad-H-supplemented module,FI − P − module,Rad-H-cofinitely
supplemented module
http://cjms.journals.umz.ac.ir/article_634.html
http://cjms.journals.umz.ac.ir/article_634_19015ac8516cebdfd0888a1fdf2cbd43.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2013
07
01
Positive solutions for nonlinear systems of third-order generalized sturm-liouville boundary value problems with $(p_1,p_2,ldots,p_n)$-laplacian
11
21
EN
M.
Alimohammady
Dept of Math. Univ of Mazandaran University
amohsen@umz.ac.ir
N.
Nyamoradi
Department of Mathematics, Faculty of Sciences Razi University,
67149 Kermanshah, Iran
nyamoradi@razi.ac.ir
In this work, byemploying the Leggett-Williams fixed point theorem, we study theexistence of at least three positive solutions of boundary valueproblems for system of third-order ordinary differential equationswith $(p_1,p_2,ldots,p_n)$-Laplacianbegin{eqnarray*}left { begin{array}{ll} (phi_{p_i}(u_i''(t)))' + a_i(t) f_i(t,u_1(t), u_2(t), ldots, u_n(t)) =0 hspace{1cm} 0 leq t leq 1, alpha_i u_i(0) - beta_i u_i'(0) = mu_{i1} u_i(xi_i),hspace{0.2cm} gamma_i u_i(1) + delta_i u_i'(1) = mu_{i2} u_i(eta_i), hspace{0.5cm} u_i''(0) = 0,end{array} right.end{eqnarray*}where $ phi_{p_i}(s) = |s|^{p_i-2}s,$, are $p_i$-Laplacianoperators, $p_i > 1, 0 < xi_i < 1, 0 < eta_i < 1$ and $mu_{i1},mu_{i2}> 0$ for $i = 1,2, ldots,n$.
Positive solution,Third-order
ordinary differential equation,Fixed point theorem,
$(p_1,p_2,ldots,p_n)$-Laplacian
http://cjms.journals.umz.ac.ir/article_641.html
http://cjms.journals.umz.ac.ir/article_641_786f4bb727a4ba626525c2c282c98351.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
06
30
INEXTENSIBLE FLOWS OF CURVES IN LIE GROUPS
23
32
EN
G.
Yildiz
Department of Mathematics, University of Bilecik Seyh Edebali,
Bilecik, Turkey
O. Z.
Okuyucu
0000-0003-4379-0252
Department of Mathematics, University of Bilecik Seyh Edebali,
Bilecik, Turkey
osman.okuyucu@bilecik.edu.tr
In this paper, we study inextensible ows in three dimensional Lie groups with a bi-invariant metric. The necessary and sucient conditions for inextensible curve ow are expressed as a partial dierential equation involving the curvatures. Also, we give some results for special cases of Lie groups.
http://cjms.journals.umz.ac.ir/article_635.html
http://cjms.journals.umz.ac.ir/article_635_dd58d62bef35821c39e5b2587a0f0b46.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
06
30
$C_4$-free zero-divisor graphs
33
38
EN
S. H.
Jafari
Department of Mathematics, University of Shahrood, Shahrood, Iran
shjafri55@gmail.com
In this paper we give a characterization for all commutative rings with $1$ whose zero-divisor graphs are $C_4$-free.
Zero-divisor graph,Bipartite graph
http://cjms.journals.umz.ac.ir/article_636.html
http://cjms.journals.umz.ac.ir/article_636_9a3adc03ecba9b95498d3fbae3874450.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
07
01
T-Rough Sets Based on the Lattices
39
53
EN
S.B.
Hosseini
Department of Mathematics, Sari Branch, Islamic Azad University,
Sari, Iran.
E.
Hosseinpour
Department of Mathematics, Sari Branch, Islamic Azad University,
Sari, Iran.
The aim of this paper is to introduce and study set- valued homomorphism on lattices and T-rough lattice with respect to a sublattice. This paper deals with T-rough set approach on the lattice theory. The result of this study contributes to, T-rough fuzzy set and approximation theory and proved in several papers. Keywords: approximation space; lattice; prime ideal; rough ideal; T-rough set; set-valued homomorphism; T-rough fuzzy ideal
approximation space,lattice,prime ideal,rough ideal,T-rough set,set-valued homomorphism,T-rough fuzzy ideal
http://cjms.journals.umz.ac.ir/article_652.html
http://cjms.journals.umz.ac.ir/article_652_d0e3286520c83cd72db88ebfee662fad.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
06
30
Fixed point approach to the Hyers-Ulam-Rassias approximation of homomorphisms and derivations on Non-Archimedean random Lie $C^*$-algebras
55
66
EN
H.
Azadi Kenary
Department of Mathematics, Beyza Branch, Islamic Azad
University, Beyza, Iran.
h.azadikenary@gmail.com
A.
Toorani
Department of Mathematics, Beyza Branch, Islamic Azad
University, Beyza, Iran.
a.toorani@yahoo.com
A.
Heidarzadegan
Department of Mathematics, Beyza Branch, Islamic Azad
University, Beyza, Iran.
a.heidarzadegan@yahoo.com
In this paper, using fixed point method, we prove the generalized Hyers-Ulam stability of random homomorphisms in random $C^*$-algebras and random Lie $C^*$-algebras and of derivations on Non-Archimedean random C$^*$-algebras and Non-Archimedean random Lie C$^*$-algebras for the following $m$-variable additive functional equation: $$sum_{i=1}^m f(x_i)=frac{1}{2m}left[sum_{i=1}^mfleft( m x_i + sum_{j=1~,ineq j}^m x_jright)+fleft(sum_{i=1}^m x_iright) right]$$ The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias� stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
Additive functional equation,fixed point,Non-Archimedean random space,homomorphism
in $C^*$-algebras and Lie $C^*$-algebras,
generalized Hyers-Ulam stability,derivation on $C^*$-algebras and Lie $C^*$-algebras
http://cjms.journals.umz.ac.ir/article_638.html
http://cjms.journals.umz.ac.ir/article_638_5358565242dc84e81bdca50fa4e13602.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
06
30
On the existence of nonnegative solutions for a class of fractional boundary value problems
67
76
EN
A.
Babakhani
Department of Mathematics, Faculty of Basic Science University of
Technology, 47148-71167, Iran
babakhani@nit.ac.ir
In this paper, we provide sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation. By applying Kranoselskii`s fixed--point theorem in a cone, first we prove the existence of solutions of an auxiliary BVP formulated by truncating the response function. Then the Arzela--Ascoli theorem is used to take $C^1$ limits of sequences of such solutions.
Boundary value problem,Nonnegative solutions,Caputo fractional derivative,Equicontinuous sets
http://cjms.journals.umz.ac.ir/article_639.html
http://cjms.journals.umz.ac.ir/article_639_b4de0fd10771631ea8ca45346527e5d9.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences (CJMS)
1735-0611
2
1
2014
06
30
Solving a System of Linear Equations by Homotopy Analysis Method
77
84
EN
M.
Bayat
Department of Mathematics, Zanjan Branch, Islamic Azad
University, Zanjan, Iran
baayyaatt@gmail.com
Z.
Khatami
Department of Mathematics, Zanjan University, Zanjan, Iran
zkhatami11@yahoo.com
In this paper, an efficient algorithm for solving a system of linear equations based on the homotopy analysis method is presented. The proposed method is compared with the classical Jacobi iterative method, and the convergence analysis is discussed. Finally, two numerical examples are presented to show the effectiveness of the proposed method.
Homotopy analysis method,System of Linear Equations,Jacobi iterative
method
http://cjms.journals.umz.ac.ir/article_640.html
http://cjms.journals.umz.ac.ir/article_640_9790af813eec2a3985ab20e919b2aeb5.pdf