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.