eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
03
121
130
510040
Signature submanifolds for some equivalence problems
M. Nadjakhah
1
Z. Pahlevani Tehrani
2
Iran University of Science and Technology, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_510040_261d6b9f50a7b2d889b8d8449ea29062.pdf
Signature submanifold
equivalence problem
moving frame
differential invariant
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
03
131
147
510041
Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces
R. Jalal Shahkoohi
rog.jalal@gmail.com
1
S. A. Kazemipour
2
A. Rajabi Eyvali
3
Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
Department of Mathematics and Statistics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
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.
http://jlta.iauctb.ac.ir/article_510041_8c71453f3309c33b8d74810c975f2fd0.pdf
Tripled xed point
Generalized weakly contraction
Generalized metric spaces
Partially ordered set
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
03
149
158
510042
Topological number for locally convex topological spaces with continuous semi-norms
M. Rahimi
m10.rahimi@gmail.com
1
S. M. Vaezpour
2
I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
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.
http://jlta.iauctb.ac.ir/article_510042_9013ab49a1395b3f12af88cc68a97c72.pdf
Locally convex space
Minkowski functional
Topological number
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
03
159
171
510043
Solution of the first order fuzzy differential equations with generalized differentiability
L. Jamshidi
1
T. Allahviranloo
allahviranloo@yahoo.com
2
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran
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.
http://jlta.iauctb.ac.ir/article_510043_0a0563d2d7e7f03919c9e34c728d11f0.pdf
First order fuzzy dierential equations
Generalized dierentiability
Fuzzy linear dierential equations
Exponent matrix
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
03
173
184
510044
Higher rank numerical ranges of rectangular matrix polynomials
Gh. Aghamollaei
aghamollaei@uk.ac.ir
1
M. Zahraei
2
Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran
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.
http://jlta.iauctb.ac.ir/article_510044_632f0d1e9a5977e1bd3595b67de5b207.pdf
Rank-k numerical range
isometry
numerical range
rectangular matrix polynomials
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-09-01
03
03
185
196
516390
Module amenability and module biprojectivity of θ-Lau product of Banach algebras
D. Ebrahimi Bagha
1
H. Azaraien
2
Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf
Module amenability
module biprojectivity
θ-Lau product of Banach algebras
inverse semigroup