OTHERS_CITABLE
Linear Functions Preserving Multivariate and Directional Majorization
Let V and W be two real vector spaces and let ;sim be a relation on both V and W. A linear function T : V → W is said to be a linear preserver (respectively strong linear preserver) of ;sim if Tx ;sim Ty whenever x ;sim y (respectively Tx ;sim Ty if and only if x ;sim y). In this paper we characterize all linear functions T : M_{n,m} → M_{n,k} which preserve or strongly preserve multivariate and directional majorization.
http://ijmsi.ir/article-1-105-en.pdf
2015-10-26T10:20:15
1
5
10.7508/ijmsi.2010.01.001
Doubly Stochastic matrices
Directional majorization
Multivariate majorization
Linear preserver.
A.
Armandnejad
1
AUTHOR
H. R.
Afshin
2
AUTHOR
OTHERS_CITABLE
Clifford Wavelets and Clifford-valued MRAs
In this paper using the Clifford algebra over R4 and its matrix representation, we construct Clifford scaling functions and Clifford wavelets. Then we compute related mask functions and filters, which arise in many applications such as quantum mechanics.
http://ijmsi.ir/article-1-106-en.pdf
2015-10-26T10:20:15
7
18
10.7508/ijmsi.2010.01.002
Clifford Wavelets
Clifford algebra
Multiresolution Analysis
Wavelets.
A.
Askari Hemmat
1
AUTHOR
Z.
Rahbani
2
AUTHOR
OTHERS_CITABLE
The Dual of a Strongly Prime Ideal
Let R be a commutative integral domain with quotient field K and let P be a nonzero strongly prime ideal of R. We give several characterizations of such ideals. It is shown that (P : P) is a valuation domain with the unique maximal ideal P. We also study when P^{;minus1} is a ring. In fact, it is proved that P^{;minus1} = (P : P) if and only if P is not invertible. Furthermore, if P is invertible, then R = (P : P) and P is a principal ideal of R.
http://ijmsi.ir/article-1-107-en.pdf
2015-10-26T10:20:15
19
26
10.7508/ijmsi.2010.01.003
Strongly prime ideal
Divided ideal
Valuation domain.
Reza
Jahani-Nezhad
1
AUTHOR
OTHERS_CITABLE
On the Smoothness of Functors
In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.
http://ijmsi.ir/article-1-110-en.pdf
2015-10-26T10:20:15
27
39
10.7508/ijmsi.2010.01.004
Abelian Category
First Order Deformations
Multicategory
Tangent Category
Topologizing Subcategory.
A.
Bajravani
1
AUTHOR
A.
Rastegar
2
AUTHOR
OTHERS_CITABLE
On Generalization of Cebysev Type Inequalities
In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.
http://ijmsi.ir/article-1-108-en.pdf
2015-10-26T10:20:15
41
48
10.7508/ijmsi.2010.01.005
Hölder\'s integral inequality
Cebysev type inequality
L_{p} spaces.
Mehmat Zeki
Sarikaya
1
AUTHOR
Aziz
Saglam
2
AUTHOR
Huseyin
Yildirim
3
AUTHOR
OTHERS_CITABLE
C*-Algebra numerical range of quadratic elements
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the C*-algebra numerical range.
http://ijmsi.ir/article-1-111-en.pdf
2015-10-26T10:20:15
49
53
10.7508/ijmsi.2010.01.006
C*-algebra
Numerical range
Quadratic element
Faithful representation.
M. T.
Heydari
1
AUTHOR
OTHERS_CITABLE
Quantum Error-Correction Codes on Abelian Groups
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
http://ijmsi.ir/article-1-104-en.pdf
2015-10-26T10:20:15
55
67
10.7508/ijmsi.2010.01.007
Quantum error correction
Qunatum Fourier transform
Quantum channel.
Massoud
Amini
1
AUTHOR