2010
5
1
0
67
Linear Functions Preserving Multivariate and Directional Majorization
2
2
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.
1
5
A.
Armandnejad
A.
Armandnejad
H. R.
Afshin
H. R.
Afshin
Doubly Stochastic matrices
Directional majorization
Multivariate majorization
Linear preserver.
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Clifford Wavelets and Clifford-valued MRAs
2
2
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.
7
18
A.
Askari Hemmat
A.
Askari Hemmat
Z.
Rahbani
Z.
Rahbani
Clifford Wavelets
Clifford algebra
Multiresolution Analysis
Wavelets.
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The Dual of a Strongly Prime Ideal
2
2
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.
19
26
Reza
Jahani-Nezhad
Reza
Jahani-Nezhad
Strongly prime ideal
Divided ideal
Valuation domain.
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On the Smoothness of Functors
2
2
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.
27
39
A.
Bajravani
A.
Bajravani
A.
Rastegar
A.
Rastegar
Abelian Category
First Order Deformations
Multicategory
Tangent Category
Topologizing Subcategory.
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On Generalization of Cebysev Type Inequalities
2
2
In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.
41
48
Mehmat Zeki
Sarikaya
Mehmat Zeki
Sarikaya
Aziz
Saglam
Aziz
Saglam
Huseyin
Yildirim
Huseyin
Yildirim
Hölder\'s integral inequality
Cebysev type inequality
L_{p} spaces.
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C*-Algebra numerical range of quadratic elements
2
2
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.
49
53
M. T.
Heydari
M. T.
Heydari
C*-algebra
Numerical range
Quadratic element
Faithful representation.
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Quantum Error-Correction Codes on Abelian Groups
2
2
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.
55
67
Massoud
Amini
Massoud
Amini
Quantum error correction
Qunatum Fourier transform
Quantum channel.
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