Journal of the Iranian Mathematical Society

ارسال های اخیر

  • Conciseness on normal subgroups and new concise words from outer commutator words 

    Fernández-Alcober, G.؛ Pintonello, M. (Iranian Mathematical Society, 2024-03-01)
    Let $w=w(x_1,\ldots,x_r)$ be an outer commutator word‎. ‎We show that the word $w(u_1,\ldots,u_r)$ is concise whenever $u_1,\ldots,u_r$ are non-commutator words in disjoint sets of variables‎. ‎This applies in particular ...

  • Tsallis relative operator entropy properties with some weighted metrics 

    A., El Hilali؛ Chergui, M. (Iranian Mathematical Society, 2024-01-01)
    The present work attempts to provide some properties for Tsallis relative operator entropy $T_p(A | B)$, acting on positive definite matrices, with respect to weighted Hellinger and Alpha Procrustes distances. Many ...

  • The unit group of the group algebra $\mathbb{F}_qD_{36}$ 

    Sharma, R.؛ Kumar, Y. (Iranian Mathematical Society, 2024-01-01)
    Abstract. Let p be a prime number and Fq be a finite field having q = pn elements and D36 be the dihedral group of order 36. The unit group U(FqD36), of the group algebra FqD36, has been completely characterized.

  • A note on arithmetic-geometric-harmonic mean inequality of several positive operators 

    Mirzapour, F.؛ Morassaei, A. (Iranian Mathematical Society, 2024-01-01)
    ‎Suppose that $B_1,\cdots,B_m$ are positive operators on a Hilbert space $\mathcal{H}$‎. ‎In this paper we generalize the weighted arithmetic‎, ‎geometric and harmonic means as follows‎:‎\begin{align*}‎‎{\mathbf ...

  • On Infinite direct products of Rings modulo their direct sums 

    Momtahan, E. (Iranian Mathematical Society, 2024-01-01)
    In this article, inspiring with a result due to O.A.S. Karamzadeh, we examine the $\prod_{i\in I} R_i/\oplus_{i\in I} R_i$, where $\{R_i\}_{i\in I}$ is an infinite family of rings. We observe that they are not self-injective ...

  • A survey of recent results connected with subnormal subgroups 

    Dixon, M. R.؛ Ferrara, M.؛ Trombetti, M. (Iranian Mathematical Society, 2024-01-01)
    In this paper we give a brief survey of some highlights from the theory of subnormal subgroups and then reveal some recent extensions of this theory due to the current authors and others.

  • A study on the $\pi$-dual Rickart modules 

    Keskin Tütüncü, D. (Iranian Mathematical Society, 2023-07-01)
    The right $R$-module $M$ is said to be a $\pi$-dual Rickart module‎, ‎if for every endomorphism $f:M\to M$ with projection invariant image‎, ‎$f(M)$‎, ‎in $M$‎, ‎$f(M)$ is a direct summand of $M$. We show that the class ...

  • Left 3-Engel elements in groups: A survey 

    Hadjievangelou, A.؛ ‎Longobardi‎, P.؛ Maj, M.؛ Monetta, C.؛ O'Brien, E. A.؛ Traustason, G. (Iranian Mathematical Society, 2023-07-01)
    We survey left 3-Engel elements in groups.

  • Conciseness on normal subgroups and new concise words from lower central and derived words 

    Fernández-Alcober, G.؛ Pintonello, M. (Iranian Mathematical Society, 2023-07-01)
    Let $w=w(x_1,\ldots,x_r)$ be a lower central word or a derived word. We show that the word $w(u_1,\ldots,u_r)$ is concise whenever $u_1,\ldots,u_r$ are non-commutator words in disjoint sets of variables, thus proving a ...

  • On the watching number of graphs 

    Ahmadi, S.؛ Vatandoost, E. (Iranian Mathematical Society, 2023-07-01)
    Let $G=(V‎, ‎E)$ be a simple and undirected graph‎. ‎A watcher $\omega_i$ of $G$ is a couple of $\omega_i=(v_i‎, ‎Z_i),$ where $v_i \in V$ and $Z_i$ is a subset of the closed neighborhood of $v_i.$ If a vertex $v \in Z_i,$ ...

  • The story of rings of continuous functions in Ahvaz: From $C(X)$ to $C_c(X)$ 

    Namdari, M. (Iranian Mathematical Society, 2023-07-01)
    ‎The author narrates how the study and research on the rings of continuous real-valued functions on a topological space initiated in Iran‎. ‎In particular‎, ‎almost completely all the important work of the authors‎, ‎in ...

  • Rings of quotients of the ring R(L) by coz-filters 

    Estaji, A. A.؛ Haghdadi, T. (Iranian Mathematical Society, 2023-07-01)
    ‎In this article‎, ‎we first introduce the concept of $z$-sets in the ring $ \mathcal{R}(L)$ of real-valued continuous functions on a completely regular frame $L$‎, ‎and give some properties of them‎. ‎Let $S^{-1}_{\math ...

  • Certain modules with the Noetherian dimension 

    Javdannezhad, S. M.؛ Shirali, N. (Iranian Mathematical Society, 2023-07-01)
    ‎An $R$-Module $M$ with a small submodule $S$, ‎such that $\frac{M}{S}$ is Noetherian, ‎is called a $SN$-module‎. ‎In this paper‎, ‎we introduce the concept of $\alpha$-$SN$-modules‎, ‎for any ordinal $\alpha \geq 0$ ...

  • A generalization of the Heisenberg group 

    Székelyhidi, L. (Iranian Mathematical Society, 2023-07-01)
    In our former paper we studied spectral synthesis on the Heisenberg group. This problem is closely connected with the finite dimensional representations of the Heisenberg group on the space of continuous complex valued ...

  • Real powers and logarithms of matrices 

    Mirzapour, F.؛ Eskandari, R. (Iranian Mathematical Society, 2023-07-01)
    We define the logarithm function and the power function for matrices. Additionally, we investigate further properties of the logarithm and power functions. Utilizing the sign function, we propose a novel approach to ...

  • On some groups without perfect factors 

    Kurdachenko, L.؛ Longobardi, P.؛ Maj, M. (Iranian Mathematical Society, 2023-07-01)
    If $G$ is a group and $H, K$ are normal subgroups of $G$, $H\leq K$, then $K/H$ is said to be a $G$-perfect factor if $[K/H, G] = K/H$. If $G$ is a nilpotent group, then every non-trivial factor of $G$ is not $G$-perfect. ...

  • Commutators and hyponormal operators on a Hilbert space 

    Akhmadiev, M.؛ Alhasan, H.؛ Bikchentaev, A.؛ Ivanshin, P. (Iranian Mathematical Society, 2023-01-01)
    Let $\mathcal{H}$ be an infinite-dimensional Hilbert space over the field $\mathbb{C}$, $\mathcal{B}(\mathcal{H})$ be the $\ast$-algebra of all linear bounded operators on $\mathcal{H}$, let $|X|=\sqrt{X^*X}$ for $X\in ...

  • On the mutipliers of the Figá-Talamanca Herz algebra 

    Derighetti, A. (Iranian Mathematical Society, 2023-01-01)
    Let $G$ be a locally compact group and $p,q \in \mathbb{R}$ with $p>1, \hskip2pt p\not =2$ and $q$ between $2$ and $p$ (if $p1, \hskip2pt p\not =2$ and $q$ between $2$ and $p$ (if $p

  • Two classes of $J$-operators 

    Ando, T. (Iranian Mathematical Society, 2023-01-01)
    We define two classes ${\mathfrak A}$ and ${\mathfrak B}$ in the space ${\mathcal B}({\mathcal H})$ of operators acting on a Hilbert space on the basis of $J$-order relation and spectra, and discuss various properties ...

  • Order isomorphisms and order anti-isomorphisms on spaces of convex functions 

    Leung, D. (Iranian Mathematical Society, 2023-01-01)
    For $i=1,2$, let $C_i$ be a convex set in a locally convex Hausdorff topological vector space $X_i$. Denote by $\operatorname{conv}(C_i)$ the space of all convex, proper, lower semicontinuous functions on $C_i$. A ...

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