1
1735-4463
ACECR at Tarbiat Modares University
105
General
Linear Functions Preserving Multivariate and Directional Majorization
Armandnejad
A.
Afshin
H. R.
1
5
2010
5
1
1
5
06
05
2010
26
10
2015
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.
106
General
Clifford Wavelets and Clifford-valued MRAs
Askari Hemmat
A.
Rahbani
Z.
1
5
2010
5
1
7
18
06
05
2010
26
10
2015
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.
107
General
The Dual of a Strongly Prime Ideal
Jahani-Nezhad
Reza
1
5
2010
5
1
19
26
06
05
2010
26
10
2015
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.
110
General
On the Smoothness of Functors
Bajravani
A.
Rastegar
A.
1
5
2010
5
1
27
39
15
05
2010
26
10
2015
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.
108
General
On Generalization of Cebysev Type Inequalities
Sarikaya
Mehmat Zeki
Saglam
Aziz
Yildirim
Huseyin
1
5
2010
5
1
41
48
06
05
2010
26
10
2015
In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.
111
General
C*-Algebra numerical range of quadratic elements
Heydari
M. T.
1
5
2010
5
1
49
53
15
05
2010
26
10
2015
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.
104
General
Quantum Error-Correction Codes on Abelian Groups
Amini
Massoud
1
5
2010
5
1
55
67
06
05
2010
26
10
2015
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.