Bulletin of the Iranian Mathematical Society
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ارسال های اخیر

Limits in modified categories of interest
(Springer and the Iranian Mathematical Society (IMS), 20171201)We firstly prove the completeness of the category of crossed modules in a modified category of interest. Afterwards, we define pullback crossed modules and pullback cat objects that are both obtained by pullback ...

Selfsimilar fractals and arithmetic dynamics
(Springer and the Iranian Mathematical Society (IMS), 20171201)The concept of selfsimilarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Selfsimilar fractals are subsets of algebraic varieties which ...

Perturbation bounds for $g$inverses with respect to the unitarily invariant norm
(Springer and the Iranian Mathematical Society (IMS), 20171201)Let complex matrices $A$ and $B$ have the same sizes. Using the singular value decomposition, we characterize the $g$inverse $B^{(1)}$ of $B$ such that the distance between a given $g$inverse of $A$ and the set of all ...

On the existence of Hilbert valued periodically correlated autoregressive processes
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper we provide sufficient condition for existence of a unique Hilbert valued ($mathbb{H}$valued) periodically correlated solution to the first order autoregressive model $X_{n}=rho _{n}X_{n1}+Z_{n}$, ...

Existence and convergence results for monotone nonexpansive type mappings in partially ordered hyperbolic metric spaces
(Springer and the Iranian Mathematical Society (IMS), 20171201)We present some existence and convergence results for a general class of nonexpansive mappings in partially ordered hyperbolic metric spaces. We also give some examples to show the generality of the mappings considered herein.

Recurrences and explicit formulae for the expansion and connection coefficients in series of the product of two classical discrete orthogonal polynomials
(Springer and the Iranian Mathematical Society (IMS), 20171201)Suppose that for an arbitrary function $f(x,y)$ of two discrete variables, we have the formal expansions. [f(x,y)=sumlimits_{m,n=0}^{infty }a_{m,n},P_{m}(x)P_{n}(y),] $$ x^{m}P_{j}(x)=sumlimits_{n=0}^{2m}a_{m,,n} ...

Characterization of finite $p$groups by the order of their Schur multipliers ($t(G)=7$)
(Springer and the Iranian Mathematical Society (IMS), 20171201)Let $G$ be a finite $p$group of order $p^n$ and ${mathcal M}(G)=p^{frac{1}{2}n(n1)t(G)}$, where ${mathcal M}(G)$ is the Schur multiplier of $G$ and $t(G)$ is a nonnegative integer. The classification of such ...

An extension of the WedderburnArtin Theorem
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper we give conditions under which a ring is isomorphic to a structural matrix ring over a division ring.

Distinguishing number and distinguishing index of natural and fractional powers of graphs
(Springer and the Iranian Mathematical Society (IMS), 20171201)The distinguishing number (resp. index) $D(G)$ ($D'(G)$) of a graph $G$ is the least integer $d$ such that $G$ has an vertex labeling (resp. edge labeling) with $d$ labels that is preserved only by a trivial automorphism. ...

On the Noetherian dimension of Artinian modules with homogeneous uniserial dimension
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this article, we first show that nonNoetherian Artinian uniserial modules over commutative rings, duo rings, finite $R$algebras and right Noetherian rings are $1$atomic exactly like $Bbb Z_{p^{infty}}$. ...

Nonlinear Picone identities to Pseudo $p$Laplace operator and applications
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper, we derive a nonlinear Picone identity to the pseudo pLaplace operator, which contains some known Picone identities and removes a condition used in many previous papers. Some applications are given including ...

Characterization of $2times 2$ full diversity spacetime codes and inequivalent full rank spaces
(Springer and the Iranian Mathematical Society (IMS), 20171201)In wireless communication systems, spacetime codes are applied to encode data when multiple antennas are used in the receiver and transmitter. The concept of diversity is very crucial in designing spacetime codes. ...

A characterization of orthogonality preserving operators
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper, we characterize the class of orthogonality preserving operators on an infinitedimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$. We ...

State spaces of $K_0$ groups of some rings
(Springer and the Iranian Mathematical Society (IMS), 20171201)Let $R$ be a ring with the Jacobson radical $J(R)$ and let $picolon Rto R/J(R)$ be the canonical map. Then $pi$ induces an order preserving group homomorphism $K_0picolon K_0(R)to K_0(R/J(R))$ and an affine ...

Existence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and ...

Solving twodimensional fractional integrodifferential equations by Legendre wavelets
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper, we introduce the twodimensional Legendre wavelets (2DLWs), and develop them for solving a class of twodimensional integrodifferential equations (2DIDEs) of fractional order. We also investigate ...

Extensions of the HestenesStiefel and PolakRibierePolyak conjugate gradient methods with sufficient descent property
(Springer and the Iranian Mathematical Society (IMS), 20171201)Using search directions of a recent class of threeterm conjugate gradient methods, modified versions of the HestenesStiefel and PolakRibierePolyak methods are proposed which satisfy the sufficient descent condition. ...

Selfsimilar solutions of the Riemann problem for twodimensional systems of conservation laws
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper, a new approach is applied to study the selfsimilar solutions of 2×2 systems of nonlinear hyperbolic conservation laws. A notion of characteristic directions is introduced and then used to construct local ...

On a Picone's identity for the $mathcal{A}_{p(x)}$Laplacian and its applications
(Springer and the Iranian Mathematical Society (IMS), 20171201)We present a Picone's identity for the $mathcal{A}_{p(x)}$Laplacian, which is an extension of the classic identity for the ordinary Laplace. Also, some applications of our results in Sobolev spaces with ...

Bounds for the dimension of the $c$nilpotent multiplier of a pair of Lie algebras
(Springer and the Iranian Mathematical Society (IMS), 20171201)In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and ...