@article{ author = {Armandnejad, A. and Afshin, H. R.}, title = {Linear Functions Preserving Multivariate and Directional Majorization}, abstract ={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.}, Keywords = {Doubly Stochastic matrices, Directional majorization, Multivariate majorization, Linear preserver.}, volume = {5}, Number = {1}, pages = {1-5}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.001}, url = {http://ijmsi.ir/article-1-105-en.html}, eprint = {http://ijmsi.ir/article-1-105-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {AskariHemmat, A. and Rahbani, Z.}, title = {Clifford Wavelets and Clifford-valued MRAs}, abstract ={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.}, Keywords = {Clifford Wavelets, Clifford algebra, Multiresolution Analysis, Wavelets.}, volume = {5}, Number = {1}, pages = {7-18}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.002}, url = {http://ijmsi.ir/article-1-106-en.html}, eprint = {http://ijmsi.ir/article-1-106-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Jahani-Nezhad, Rez}, title = {The Dual of a Strongly Prime Ideal}, abstract ={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.}, Keywords = {Strongly prime ideal, Divided ideal, Valuation domain.}, volume = {5}, Number = {1}, pages = {19-26}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.003}, url = {http://ijmsi.ir/article-1-107-en.html}, eprint = {http://ijmsi.ir/article-1-107-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Bajravani, A. and Rastegar, A.}, title = {On the Smoothness of Functors}, abstract ={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.}, Keywords = {Abelian Category, First Order Deformations, Multicategory, Tangent Category, Topologizing Subcategory.}, volume = {5}, Number = {1}, pages = {27-39}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.004}, url = {http://ijmsi.ir/article-1-110-en.html}, eprint = {http://ijmsi.ir/article-1-110-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Sarikaya, Mehmat Zeki and Saglam, Aziz and Yildirim, Huseyi}, title = {On Generalization of Cebysev Type Inequalities}, abstract ={In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.}, Keywords = {Hölder\'s integral inequality, Cebysev type inequality, L_{p} spaces.}, volume = {5}, Number = {1}, pages = {41-48}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.005}, url = {http://ijmsi.ir/article-1-108-en.html}, eprint = {http://ijmsi.ir/article-1-108-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Heydari, M. T.}, title = {C*-Algebra numerical range of quadratic elements}, abstract ={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.}, Keywords = {C*-algebra, Numerical range, Quadratic element, Faithful representation.}, volume = {5}, Number = {1}, pages = {49-53}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.006}, url = {http://ijmsi.ir/article-1-111-en.html}, eprint = {http://ijmsi.ir/article-1-111-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} } @article{ author = {Amini, Massou}, title = {Quantum Error-Correction Codes on Abelian Groups}, abstract ={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.}, Keywords = {Quantum error correction, Qunatum Fourier transform, Quantum channel.}, volume = {5}, Number = {1}, pages = {55-67}, publisher = {ACECR at Tarbiat Modares University}, title_fa = {}, abstract_fa ={}, keywords_fa = {}, doi = {10.7508/ijmsi.2010.01.007}, url = {http://ijmsi.ir/article-1-104-en.html}, eprint = {http://ijmsi.ir/article-1-104-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2010} }