Bulletin of The Iranian Mathematical Society最新文献

Let (mathcal {R}) be a prime ring, (mathcal {Q}_r) the right Martindale quotient ring of (mathcal {R}), (mathcal {C}) the extended centroid of (mathcal {R}), (mathcal {I}) a noncentral ideal of (mathcal {R}), F a nonzero generalized skew derivation of (mathcal {R}), and (m,n,s ge 1) be fixed integers, such that ([F(u^m)u^n,u^s]=0), for all (u in mathcal {I}). If either (char(R)=0) or (char(R)=pne 2) and (pnot mid s), then there exists (a in mathcal {Q}_r) such that (F(x)=xa), for all (xin mathcal {R}).

This paper explores the properties of Tanno tensor on quasi contact metric manifolds and provides a characterization of these manifolds using Tanno tensor. Furthermore, it presents formulas for skew-symmetric and symmetric parts of Tanno tensor.

A nonlinear viscoelastic plate equation with logarithmic nonlinearity and variable-exponents is studied. Firstly, the global existence is showed. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of solutions is proved with negative initial energy.

Let ({mathcal {M}}) and ({mathcal {N}}) be factor von Neumann algebras, and let (Psi :{mathcal {M}}rightarrow {mathcal {N}}) be a bijective map preserving ([[G,S],T]_{diamond }.) In this paper, we will study the characterization of this map when ({textrm{dim}} {mathcal {M}}>1.)

A ring R is called right (mathfrak {cP})-Baer if the right annihilator of a cyclic projective right R-module in R is generated by an idempotent. These rings are a generalization of the right p.q.-Baer rings and abelian rings. Following Birkenmeier and Heider (Commun Algebra 47(3):1348–1375, 2019 https://doi.org/10.1080/00927872.2018.1506462), we investigate the transfer of the (mathfrak {cP})-Baer property between a ring R and many polynomial extensions (including skew polynomials, skew Laurent polynomials, skew power series, skew inverse Laurent series), and monoid rings. As a consequence, we answer a question posed by Birkenmeier and Heider (2019).

We introduce zero-dimensionally embedded (ZDE) sublocales as those sublocales S with the property that the ambient frame has a basis, elements of which induce open sublocales whose frontiers miss S. This notion is stronger than the traditional zero-dimensionality of a sublocale. A compactification of a frame is perfect if its associated right adjoint preserves disjoint binary joins. Herein, the class of rim-perfect compactifications of frames is introduced, and we show that it contains all the perfect ones. Indeed, not every rim-perfect compactification is perfect, but compactifications with a ZDE remainder do not distinguish between rim-perfectness and perfectness. The Freudenthal compactification has a ZDE remainder. We show that a frame L is rim-compact if and only if L has a compactification with a ZDE remainder. Several results concerning perfect compactifications and ZDE remainders are provided.

In this paper, we study the boundedness, stability, and the rate of convergence of positive solutions of the following system of difference equations:

where parameters (alpha ), p, (q in (0, +infty )), and the initial values (x_{i}), (y_{i}) are arbitrary positive numbers for ( i= -1, 0).

We study the numerical solutions for a class of quasilinear Schrödinger equations arising from the self-channeling of high-power ultra short lasers in matter, which are associated with energy functionals with nonlinear principle parts so that the classical algorithm cannot directly be used. By the method of variable replacement to transform the quasilinear Schrödinger equation into an semilinear elliptic equation, the numerical mountain pass algorithm is then applied. Some numerical experiments are also performed, including zero potential, nonzero constant potential and singular problem.

Let (Xsubseteq G/mathcal {B}) be a Schubert variety in a flag manifold and let (pi : tilde{X} rightarrow X) be a Bott–Samelson resolution of X. In this paper, we prove an effective version of the decomposition theorem for the derived pushforward (R pi _{*} mathbb {Q}_{tilde{X}}). As a by-product, we obtain recursive procedure to extract Kazhdan–Lusztig polynomials from the polynomials introduced by Deodhar [7], which does not require prior knowledge of a minimal set. We also observe that any family of equivariant resolutions of Schubert varieties allows to define a new basis in the Hecke algebra and we show a way to compute the transition matrix, from the Kazhdan–Lusztig basis to the new one.

In this paper, we introduce some versions of relative connectedness of subspaces of a topological space and we give some facts and relations among them. We prove that these relative versions satisfy some of the classical properties of connectedness. Additionally, we apply our results to the theory of hyperspaces, aiming to address a general problem posed by Arhangel’skii (Comment Math Univ Carolin 36:305–325, 1995, Problem 3).