Iranian Journal of Mathematical Sciences and Informatics
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Iranian Journal of Mathematical Sciences and Informatics - Journal articles for year 2010, Volume 5, Number 1Yektaweb Collection - https://yektaweb.comen2010/5/11Linear Functions Preserving Multivariate and Directional Majorization
http://ijmsi.ir/browse.php?a_id=105&sid=1&slc_lang=en
<p>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.</p>
A. ArmandnejadClifford Wavelets and Clifford-valued MRAs
http://ijmsi.ir/browse.php?a_id=106&sid=1&slc_lang=en
<p>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.</p>
A. Askari HemmatThe Dual of a Strongly Prime Ideal
http://ijmsi.ir/browse.php?a_id=107&sid=1&slc_lang=en
<p>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.</p>
Reza Jahani-NezhadOn the Smoothness of Functors
http://ijmsi.ir/browse.php?a_id=110&sid=1&slc_lang=en
<p>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.</p>
A. BajravaniOn Generalization of Cebysev Type Inequalities
http://ijmsi.ir/browse.php?a_id=108&sid=1&slc_lang=en
<p>In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.</p>
Mehmat Zeki SarikayaC*-Algebra numerical range of quadratic elements
http://ijmsi.ir/browse.php?a_id=111&sid=1&slc_lang=en
<p>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.</p>
M. T. HeydariQuantum Error-Correction Codes on Abelian Groups
http://ijmsi.ir/browse.php?a_id=104&sid=1&slc_lang=en
<p>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.</p>
Massoud Amini