Journal of the Iranian Mathematical Society
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Some familiar graphs on the rings of measurable functions
(Iranian Mathematical Society, 2025-01-01)On the ring of real-valued measurable functions $\mathcal{M}(X,\mathcal{A})$, we redefine the co-maximal graph $\Gamma'_2(\mathcal{M}(X,\mathcal{A}))$, the annihilator graph $AG(\mathcal{M}(X,\mathcal{A}))$ and the ...
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Warped product slant submanifolds of nearly Kähler manifolds
(Iranian Mathematical Society, 2025-01-01)We study warped product slant submanifolds of nearly Kähler manifolds. First, we introduce the concept of warped product quasi bi-slant submanifolds in almost Hermitian manifolds and show that every warped product quasi ...
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A survey on $G$-graph of group
(Iranian Mathematical Society, 2025-01-01)In this survey the structure of one of the powerful group presentations, introduced by Alain Bretto is studied which is called $G$-graph. This survey contains some sections of properties, examples, characterization and ...
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Boundedness of composition operators on $X^\Phi$ spaces
(Iranian Mathematical Society, 2025-01-01)In this paper, we study composition operators on the space $X^\Phi$, where $\Phi$ is a Young function and $X^\Phi$ is a generalized Orlicz space associated to a Banach function space $X$. We give some necessary and ...
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On some properties of neutral SFS-spaces
(Iranian Mathematical Society, 2024-03-01)One of the important problems of the operator algebras theory is the geometric characterization of state spaces of operator algebras. In this regard, in mid-1980s, a paper by Friedman and Russo introduced facially ...
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Inner amenability of certain Lau algebras associated to discrete crossed products
(Iranian Mathematical Society, 2024-03-01)For a discrete group $\Gamma$, a Hopf von Neumann algebra $(\mathfrak{M},\Delta)$ and a $W^*$-dynamical system $(\mathfrak{M},\Gamma,\alpha)$ such that $(\alpha_s\otimes\alpha_s)\circ\Delta=\Delta\circ\alpha_s$, we show ...
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An algebraic proof of the classification of five-dimensional nilsolitons
(Iranian Mathematical Society, 2024-03-01)In 2002, using a variational method, Lauret classified five-dimensional nilsolitons. In this work, using the algebraic Ricci soliton equation, we obtain the same classification. We show that, among ten classes of ...
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Analysis of a certain Pseudo $q$-calculus and its applications in integral inequalities
(Iranian Mathematical Society, 2024-03-01)We define three new operators which, in exceptional cases, are reduced to\linebreak $q$-integral/derivative $q_a$-integral/derivative and ${}^bq$-integral/derivative operators. Fundamental properties emerge among ...
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A generalization of normal almost contact manifolds
(Iranian Mathematical Society, 2024-03-01)In this article, a new definition, called $ \varphi $-normal, is introduced, which is a generalization of normal condition on almost contact manifolds. Then some examples of $ \varphi $-normal almost contact ...
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Gevrey regularity on maximally real submanifolds
(Iranian Mathematical Society, 2024-03-01)The Fourier -Br\'os -Iagolnitzer (FBI) transform is the right tool to characterize microlocal analyticity, microlocal smoothness, and Gevrey regularity. In this paper, we characterize microlocal Gevrey regularity ...
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Some results on rough $\mathcal{I}_{2}$-lacunary statistical convergence of complex uncertain sequences
(Iranian Mathematical Society, 2024-03-01)This paper introduces rough I₂-lacunary statistical convergence for complex uncertain double sequences (CUDS), extending concepts of rough convergence, rough lacunary statistical convergence, and rough I₂-convergence. We ...
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An overview of $z$-ideals and $z^\circ$-ideals
(Iranian Mathematical Society, 2024-03-01)Overall, $z$-ideals and $z^\circ$-ideals in $C(X)$, the ring of all real-valued continuous functions on a space $X$, play a crucial role in the ideal structure of the ring, exhibiting connections with prime ideals ...
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Decomposition of complete tripartite graphs into triangles and claws
(Iranian Mathematical Society, 2024-03-01)Let $K_{{r},{s},{t}}$ be a complete tripartite graph with $r\leq s \leq t$. Let $C_{k}$ and $S_{k}$ respectively denote a cycle and a star with $k$ edges. In this paper, we show that the necessary and sufficient ...
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Commutativity of prime ring with generalized skew derivations having a Lie-type behaviour
(Iranian Mathematical Society, 2024-03-01)Let $R$ be a prime ring of characteristic different from $2$ and $3$, $Q_r$ its right Martindale quotient ring and $C$ its the extended centroid. Suppose that $F$ is a non-zero generalized skew derivation of $R$ ...
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Characterization of the structured pseudospectrum in non-Archimedean Banach spaces
(Iranian Mathematical Society, 2024-03-01)In this paper, we demonstrate some results on the pseudospectrum of linear operator pencils on non-Archimedean Banach spaces. In particular, we give a relationship between the Fredholm spectrum of a bounded operator pencil ...
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Conciseness on normal subgroups and new concise words from outer commutator words
(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 ...
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Tsallis relative operator entropy properties with some weighted metrics
(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 ...
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The unit group of the group algebra $\mathbb{F}_qD_{36}$
(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.
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A note on arithmetic-geometric-harmonic mean inequality of several positive operators
(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 ...
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On Infinite direct products of Rings modulo their direct sums
(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 ...
