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
m nadjakhah@iust.ac.ir
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 dierential 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
eqiuvalence problem
moving frame
dierential
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 Gb-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 -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.
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 rst order fuzzy dierential equations with generalized dierentiability
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 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.
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 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.
http://jlta.iauctb.ac.ir/article_510044_632f0d1e9a5977e1bd3595b67de5b207.pdf
Rankk 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 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.
http://jlta.iauctb.ac.ir/article_516390_ee89500a6e1521d7040b915580bf0641.pdf
Module amenability
module biprojectivity
θ-Lau product of Banach algebras
inverse semigroup