ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 Linear Functions Preserving Multivariate and Directional Majorization 1 5 EN A. Armandnejad H. R. Afshin 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 Clifford Wavelets and Clifford-valued MRAs 7 18 EN A. Askari Hemmat Z. Rahbani 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 The Dual of a Strongly Prime Ideal 19 26 EN Reza Jahani-Nezhad 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 On the Smoothness of Functors 27 39 EN A. Bajravani A. Rastegar 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 On Generalization of Cebysev Type Inequalities 41 48 EN Mehmat Zeki Sarikaya Aziz Saglam Huseyin Yildirim In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 C*-Algebra numerical range of quadratic elements 49 53 EN M. T. Heydari 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.

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 5 1 2010 5 1 Quantum Error-Correction Codes on Abelian Groups 55 67 EN Massoud Amini 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.