Signature submanifolds for some equivalence problems
M.
Nadjakhah
Iran University of Science and Technology, Tehran, Iran
author
Z.
Pahlevani Tehrani
Iran University of Science and Technology, Tehran, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
03
no.
2014
121
130
http://jlta.iauctb.ac.ir/article_510040_261d6b9f50a7b2d889b8d8449ea29062.pdf
Tripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces
R.
Jalal Shahkoohi
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
author
S. A.
Kazemipour
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
author
A.
Rajabi Eyvali
Department of Mathematics and Statistics, Aliabad Katoul Branch,
Islamic Azad University, Aliabad Katoul, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
03
no.
2014
131
147
http://jlta.iauctb.ac.ir/article_510041_8c71453f3309c33b8d74810c975f2fd0.pdf
Topological number for locally convex topological spaces with continuous semi-norms
M.
Rahimi
I. A. U. Aligudarz Branch, Department of Mathematics, Aligudarz, Iran
author
S. M.
Vaezpour
Dept. of Math., Amirkabir University of Technology, Hafez Ave, Tehran, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
03
no.
2014
149
158
http://jlta.iauctb.ac.ir/article_510042_9013ab49a1395b3f12af88cc68a97c72.pdf
Solution of the first order fuzzy differential equations with generalized differentiability
L.
Jamshidi
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
author
T.
Allahviranloo
Department of Mathematics, Tehran Science and Research Branch, Islamic Azad University, Tehran , Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
03
no.
2014
159
171
http://jlta.iauctb.ac.ir/article_510043_0a0563d2d7e7f03919c9e34c728d11f0.pdf
Higher rank numerical ranges of rectangular matrix polynomials
Gh.
Aghamollaei
Department of Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran
author
M.
Zahraei
Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
03
no.
2014
173
184
http://jlta.iauctb.ac.ir/article_510044_632f0d1e9a5977e1bd3595b67de5b207.pdf
Module amenability and module biprojectivity of θ-Lau product of Banach algebras
D.
Ebrahimi Bagha
Department of Mathematics, Islamic Azad university, Central Tehran Branch, Tehran, Iran
author
H.
Azaraien
Department of Mathematics, Islamic Azad university,
Central Tehran Branch, Tehran, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
03
v.
03
no.
2014
185
196
http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf