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.
m nadjakhah@iust.ac.ir
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 dierential invariants of an associated
manifold under Lie group action, and therefore signature submanifold is a key for solving
equivalence problems.
Signature submanifold,eqiuvalence problem,moving frame,dierential
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 Gb-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 -contractive
conditions in the framework of partially ordered Gb-metric spaces are obtained. Our results
extend the results of Aydi et al. [H. Aydi, E. Karapnar and W. Shatanawi, Tripled xed
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 rst order fuzzy dierential equations with generalized dierentiability
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 rst order linear fuzzy dierential equations with fuzzy
coecient and initial value. We use the generalized dierentiability 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 rankk numerical range of rectangular complex ma-
trix polynomials are introduced. Some algebraic and geometrical properties are investigated.
Moreover, for ϵ > 0; the notion of Birkho-James approximate orthogonality sets for ϵhigher
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.
Rankk 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 θ - Lau product A×θB and that of Banach algebras A, B. We also discuss module biprojectivity of A×θB. As a consequent we will see that for an inverse semigroup S, l 1 (S) ×θ 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