2024-03-28T19:07:44+03:30 http://ijmsi.ir/browse.php?mag_id=9&slc_lang=en&sid=1
9-105 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 Linear Functions Preserving Multivariate and Directional Majorization 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. Doubly Stochastic matrices Directional majorization Multivariate majorization Linear preserver. 2010 5 01 1 5 http://ijmsi.ir/article-1-105-en.pdf 10.7508/ijmsi.2010.01.001
9-106 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 Clifford Wavelets and Clifford-valued MRAs 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. Clifford Wavelets Clifford algebra Multiresolution Analysis Wavelets. 2010 5 01 7 18 http://ijmsi.ir/article-1-106-en.pdf 10.7508/ijmsi.2010.01.002
9-107 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 The Dual of a Strongly Prime Ideal 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. Strongly prime ideal Divided ideal Valuation domain. 2010 5 01 19 26 http://ijmsi.ir/article-1-107-en.pdf 10.7508/ijmsi.2010.01.003
9-110 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 On the Smoothness of Functors 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. Abelian Category First Order Deformations Multicategory Tangent Category Topologizing Subcategory. 2010 5 01 27 39 http://ijmsi.ir/article-1-110-en.pdf 10.7508/ijmsi.2010.01.004
9-108 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 On Generalization of Cebysev Type Inequalities 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. Hölder\'s integral inequality Cebysev type inequality L_{p} spaces. 2010 5 01 41 48 http://ijmsi.ir/article-1-108-en.pdf 10.7508/ijmsi.2010.01.005
9-111 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 C*-Algebra numerical range of quadratic elements 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. C*-algebra Numerical range Quadratic element Faithful representation. 2010 5 01 49 53 http://ijmsi.ir/article-1-111-en.pdf 10.7508/ijmsi.2010.01.006
9-104 2024-03-28 10.1002
Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.61186/ijmsi 2010 5 1 Quantum Error-Correction Codes on Abelian Groups 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. Quantum error correction Qunatum Fourier transform Quantum channel. 2010 5 01 55 67 http://ijmsi.ir/article-1-104-en.pdf 10.7508/ijmsi.2010.01.007