Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
03
2014
09
01
Signature submanifolds for some equivalence problems
121
130
EN
M.
Nadjakhah
Iran University of Science and Technology, Tehran, Iran
Z.
Pahlevani Tehrani
Iran University of Science and Technology, Tehran, Iran
This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group action, and therefore signature submanifold is a key for solving equivalence problems.
Signature submanifold,equivalence problem,moving frame,differential invariant
http://jlta.iauctb.ac.ir/article_510040.html
http://jlta.iauctb.ac.ir/article_510040_261d6b9f50a7b2d889b8d8449ea29062.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
03
2014
09
01
Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces
131
147
EN
R.
Jalal Shahkoohi
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
rog.jalal@gmail.com
S. A.
Kazemipour
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
A.
Rajabi Eyvali
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
In this paper, tripled coincidence points of mappings satisfying $psi$-contractive conditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our results extend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages]. Moreover, some examples of the main result are given.
Tripled xed point,Generalized weakly contraction,Generalized metric spaces,Partially ordered set
http://jlta.iauctb.ac.ir/article_510041.html
http://jlta.iauctb.ac.ir/article_510041_8c71453f3309c33b8d74810c975f2fd0.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
03
2014
09
01
Topological number for locally convex topological spaces with continuous semi-norms
149
158
EN
M.
Rahimi
I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
m10.rahimi@gmail.com
S. M.
Vaezpour
Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran
In this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. It gives some criterions to study locally convex topological spaces in a discrete approach.
Locally convex space,Minkowski functional,Topological number
http://jlta.iauctb.ac.ir/article_510042.html
http://jlta.iauctb.ac.ir/article_510042_9013ab49a1395b3f12af88cc68a97c72.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
03
2014
09
01
Solution of the first order fuzzy differential equations with generalized differentiability
159
171
EN
L.
Jamshidi
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
T.
Allahviranloo
Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran
allahviranloo@yahoo.com
In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.
First order fuzzy dierential equations,Generalized dierentiability,Fuzzy linear dierential equations,Exponent matrix
http://jlta.iauctb.ac.ir/article_510043.html
http://jlta.iauctb.ac.ir/article_510043_0a0563d2d7e7f03919c9e34c728d11f0.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
03
2014
09
01
Higher rank numerical ranges of rectangular matrix polynomials
173
184
EN
Gh.
Aghamollaei
Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran
aghamollaei@uk.ac.ir
M.
Zahraei
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed denitions yield a natural generalization of the standard higher rank numerical ranges.
Rank-k numerical range,isometry,numerical range,rectangular matrix polynomials
http://jlta.iauctb.ac.ir/article_510044.html
http://jlta.iauctb.ac.ir/article_510044_632f0d1e9a5977e1bd3595b67de5b207.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
03
2014
09
01
Module amenability and module biprojectivity of θ-Lau product of Banach algebras
185
196
EN
D.
Ebrahimi Bagha
Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
H.
Azaraien
Department of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, Iran
In this paper we study the relation between module amenability of $theta$-Lau product $A×_theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_theta l^1(S)$ is module amenable if and only if $S$ is amenable.
Module amenability,module biprojectivity,θ-Lau product of Banach algebras,inverse semigroup
http://jlta.iauctb.ac.ir/article_516390.html
http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf