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Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.A new subclass of harmonic mappings with positive coefficients
http://jlta.iauctb.ac.ir/article_667307_116525.html
‎Complex-valued harmonic functions that are univalent and‎ ‎sense-preserving in the open unit disk $U$ can be written as form‎ ‎$f =h+bar{g}$‎, ‎where $h$ and $g$ are analytic in $U$‎. ‎In this paper‎, ‎we introduce the class $S_H^1(beta)$‎, ‎where $1<betaleq 2$‎, ‎and‎ ‎consisting of harmonic univalent function $f = h+bar{g}$‎, ‎where $h$ and $g$ are in the form‎ ‎$h(z) = z+sumlimits_{n=2}^infty |a_n|z^n‎$ ‎and ‎‎$‎g(z) =‎sumlimits_{n=2}^infty |b_n|bar z^n$‎ for which‎ ‎$$mathrm{Re}left{z^2(h''(z)+g''(z))‎ +2z(h'(z)+g'(z))-(h(z)+g(z))-(z-1)right}<beta.$$‎ It is shown that the members of this class are convex and starlike‎. ‎We obtain distortions bounds extreme point for functions belonging to this class‎, ‎and we also show this class is closed under‎ convolution and convex combinations‎.Wed, 31 Jul 2019 19:30:00 +0100On the X basis in the Steenrod algebra
http://jlta.iauctb.ac.ir/article_668359_0.html
‎Let $mathcal{A}_p$ be the mod $p$ Steenrod algebra‎, ‎where $p$ is an odd prime‎, ‎and let $mathcal{A}$ be the‎ subalgebra $mathcal{A}$ of $mathcal{A}_p$ generated by the Steenrod $p$th powers‎. ‎We generalize the $X$-basis in $mathcal{A}$ to $mathcal{A}_p$‎.Tue, 08 Oct 2019 20:30:00 +0100Invariant elements in the dual Steenrod algebra
http://jlta.iauctb.ac.ir/article_667191_116525.html
‎In this paper‎, ‎we investigate the invariant elements of the dual mod $p$ Steenrod subalgebra ${mathcal{A}_p}^*$ under the conjugation map $chi$ and give bounds on the dimensions of $(chi-1)({mathcal{A}_p}^*)_d$‎, ‎where $({mathcal{A}_p}^*)_d$ is the dimension of ${mathcal{A}_p}^*$ in degree $d$‎.Wed, 31 Jul 2019 19:30:00 +0100Hyers–Ulam–Rassias stability of impulsive Volterra integral equation via a fixed point approach
http://jlta.iauctb.ac.ir/article_668267_0.html
‎In this paper‎, ‎we establish the Hyers--Ulam--Rassias stability and the Hyers--Ulam stability of impulsive Volterra integral equation by using a fixed point method‎.Sun, 06 Oct 2019 20:30:00 +0100$(F,\varphi ,\alpha )_{s}$-contractions in $b$-metric spaces and applications
http://jlta.iauctb.ac.ir/article_667231_116525.html
‎In this paper‎, ‎we introduce more general contractions called $varphi $-fixed‎ ‎point point for $(F,varphi‎ ,‎alpha )_{s}$ and $(F,varphi‎ ,‎alpha )_{s}$-‎weak contractions‎. ‎We prove the existence and uniqueness of $varphi $-‎fixed point point for $(F,varphi‎ ,‎alpha )_{s}$ and $(F,varphi‎ ,‎alpha‎‎)_{s}$-weak contractions in complete $b$-metric spaces‎. ‎Some examples are‎ ‎supplied to support the usability of our results‎. ‎As applications‎, ‎necessary‎ ‎conditions to ensure the existence of a unique solution for a nonlinear‎ ‎inequality problem are also discussed‎. ‎Also‎, ‎some new fixed point results in‎ ‎partial metric spaces are proved.Wed, 31 Jul 2019 19:30:00 +0100Measures of maximal entropy
http://jlta.iauctb.ac.ir/article_668429_0.html
We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.Sat, 12 Oct 2019 20:30:00 +0100Application of DJ method to Ito stochastic differential equations
http://jlta.iauctb.ac.ir/article_667194_116525.html
‎This paper develops iterative method described by [V‎. ‎Daftardar-Gejji‎, ‎H‎. ‎Jafari‎, ‎An iterative method for solving nonlinear functional equations‎, ‎J‎. ‎Math‎. ‎Anal‎. ‎Appl‎. ‎316 (2006) 753-763] to solve Ito stochastic differential equations‎. ‎The convergence of the method for Ito stochastic differential equations is assessed‎. ‎To verify efficiency of method‎, ‎some examples are expressed‎.Wed, 31 Jul 2019 19:30:00 +0100Ring endomorphisms with nil-shifting property
http://jlta.iauctb.ac.ir/article_667309_116525.html
Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,bin R.$ The reversible property is an important role in noncommutative ring theory‎. ‎Recently‎, ‎Abdul-Jabbar et al‎. ‎studied the reversible ring property on nilpotent elements‎, ‎introducing‎ the concept of commutativity of nilpotent elements at zero (simply‎, ‎a CNZ ring)‎. ‎In this paper‎, ‎we extend the CNZ property of a ring as follows‎: ‎Let $R$ be a ring and $alpha$ an endomorphism of $R$‎, ‎we say that $ R $ is right (resp.‎, ‎left) $alpha$-nil-shifting ring if whenever $ aalpha(b) = 0 $ (resp.‎, ‎$alpha(a)b = 0$) for nilpotents $a,b$ in $R$‎, ‎$ balpha(a) = 0 $ (resp.‎, ‎$ alpha(b)a= 0) $‎. ‎The characterization of $alpha$-nil-shifting rings and their related properties are investigated‎.Wed, 31 Jul 2019 19:30:00 +01002n-Weak module amenability of semigroup algebras
http://jlta.iauctb.ac.ir/article_667193_116525.html
‎Let $S$ be an inverse semigroup with the set of idempotents $E$‎. We prove that the semigroup algebra $ell^{1}(S)$ is always‎ ‎$2n$-weakly module amenable as an $ell^{1}(E)$-module‎, ‎for any‎ ‎$nin mathbb{N}$‎, ‎where $E$ acts on $S$ trivially from the left‎ ‎and by multiplication from the right‎. ‎Our proof is based on a common fixed point property for semigroups‎. Wed, 31 Jul 2019 19:30:00 +0100On the square root of quadratic matrices
http://jlta.iauctb.ac.ir/article_667192_116525.html
Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2times 2$ matrices.Wed, 31 Jul 2019 19:30:00 +0100