Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001Algebraic property of weighted Lebesgue spaces on a class of hypergroups385390577310.22060/ajmc.2025.23979.1345ENSeyyed MohammadTabatabaieDepartment of Mathematics, University of Qom, Qom, IranAliRezaBagheri SalecDepartment of Mathematics, University of Qom, Qom, Iran6125-4917-0002-0000Naeem Mankhi OudahAlBehadiliDepartment of Mathematics, University of Qom, Qom, IranAccounting Technologies Department, Technical Institute of AMARA, Southern Technical University, Basrah, IraqJournal Article20250306In this paper, in the context of an important class of locally compact hypergroups, namely $\mathcal{K}_{\rho}$, which were introduced by Dunkl and Ramirez, we find some sufficient conditions on a weight $(w_n)_{n=0}^\infty\subseteq (0,\infty)$ such that the set<br>\begin{equation*}<br>\left\{\big((f_k)_k,(g_k)_k\big)\in L^p(\mathcal{K}_{\rho})\times L^q(\mathcal{K}_{\rho}):\sum_{k=1}^\infty |f_kg_k|w_k^2\,\rho ^{k-1}<\infty\right\}<br>\end{equation*}<br>is a $\sigma$-$c$-lower porous set.https://ajmc.aut.ac.ir/article_5773_7e448ed9dd44e6e22442dac8e21856ae.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001Waldschmidt constant of some classes of hypergraphs391397556310.22060/ajmc.2024.23561.1266ENImanJahaniDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranShamilaBayatiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranJournal Article20240930In this paper, we present a formula for the Waldschmidt constant of edge ideals of some classes of hypergraphs. We also show that if $G$ is a simple graph with binomial edge ideal $J_G$, then the Waldschmidt constant of $J_G$ is always 2. Furthermore, the symbolic defect of umbrella hypergraphs is presented.https://ajmc.aut.ac.ir/article_5563_d02e9bdc27a894e882fa0c9055c99722.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001Systemic risk in financial networks with two central institutions399406557410.22060/ajmc.2024.23128.1232ENMariwan MarifMajeedDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranDepartment of Mathematical Sciences, College of Basic Education, University of Sulaimani, Sulaymaniyah, IraqErfanSalavatiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran0000-0001-8214-5518OmidNaghshineh ArjmandDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran0000-0002-7435-2733Journal Article20240421Systemic risk in the interbank market is the topic of this article. This market is modeled as a directed graph, where the edges are the bank-to-bank liabilities and bank-to-end users liabilities and the nodes are the banks. Our study extends the modeling paradigm of Amini et al. [3] by adding a second Central node to the system and using the equilibrium equation of the Veraart et al. [11] with some modifications that are better suited to our model. We study the effects of two central nodes on a financial network. It is evident that two central nodes can reduce the end-users shortfall and increase the predicted surplus of the banks when compared to a single central node. We provide a few straightforward examples to demonstrate our findings.https://ajmc.aut.ac.ir/article_5574_6fe6a8a6e6cb710584efc4af0c34ce50.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001A persian benchmark for joint intent detection and slot filling407422566610.22060/ajmc.2025.23058.1225ENMasoudAkbariDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran0000-0002-7691-0778AmirhoseinKarimiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranTayyebehSaeediDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranZeinabSaeidiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranKianaGhezelbashDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranFatemehShamsezatDepartment of Computer Science, Faculty of Mathematics and Computer, Fasa University, Fasa, IranMohammadAkbariDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, IranAliMohades KhorasaniDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran0000-0002-6118-2245Journal Article20240319Natural Language Understanding ($\textbf{NLU}$) is important in today's technology as it enables machines to comprehend and process human languages, leading to improved human-computer interactions and advancements in fields such as virtual assistants, chatbots, and language-based AI systems. This paper highlights the significance of advancing the field of $\textbf{NLU}$ for low-resource languages. With intent detection and slot filling being crucial tasks in $\textbf{NLU}$, the widely used datasets $\textbf{ATIS}$ and $\textbf{SNIPS}$ have been utilized in the past. However, these datasets only cater to the English language and do not support other languages. In this work, we aim to address this gap by creating a Persian benchmark for joint intent detection and slot filling based on the $\textbf{ATIS}$ dataset. To evaluate the effectiveness of our benchmark, we employ state-of-the-art methods for intent detection and slot filling.https://ajmc.aut.ac.ir/article_5666_4d386d01419c083e8df5de53eb5a0254.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001On an imprimitive maximal subgroup of $SU_7(2)$423440574010.22060/ajmc.2025.23932.1340ENDavid MwanziaMusyokaDepartment of Mathematics, Statistics and Actuarial Sciences Karatina University P. O. Box 1957-10101, Kenya0009-0005-0169-8521Abraham LovePrinsDepartment of Computational Sciences, University of Fort Hare, Private Bag X1314, King William’s Town Road, Alice, 5700,
South Africa0000-0002-4070-7399Lydia NyamburaNjugunaDepartment of Mathematics and Actuarial Science, Kenyatta University, PO Box 43844 - 00100, Nairobi, Kenya0000-0002-1478-7866LucyChikamaiDepartment of Mathematics and Actuarial Science, Kibabii University, PO Box 1699 - 50200, Bungoma, KenyaJournal Article20250220The special unitary group $SU_{n}(q)$ has a maximal imprimitive subgroup with the structure $(q+1)^{n-1}{:}S_{n}$. The exceptions when the subgroup is not maximal are $SU_{3}(5)$, $SU_{4}(3)$ and $SU_{6}(2)$. In this paper, the ordinary character table of the maximal imprimitive subgroup $\overline{G}=3^{6}{:}S_{7}$ of $SU_{7}(2)=U_{7}(2)$ is computed by the Fischer-Clifford matrices technique. A combinatorial approach is adopted in the computation of the Fischer-Clifford matrices of $\overline{G}$.https://ajmc.aut.ac.ir/article_5740_9be681ea06f52111e4c1ef99d3763770.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001A note on algebraic commutators in division rings with uncountable center441445569810.22060/ajmc.2025.23898.1324ENVoHoang Minh ThuFaculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, VietnamVietnam National University, Ho Chi Minh City, VietnamJournal Article20250213Let $D$ be a division ring with uncountable center $C$. Suppose that \( K \) is a sub-division ring of \( D \) containing $C$ and that \( a \in D \setminus C \). The purpose of this paper is to prove that if either \( axa^{-1}x^{-1} \) or \( xy - yx \) is right algebraic over \( K \) for all \( x, y \in D \setminus \{0\} \), then \( D \) is also right algebraic over \( K \). This result provides the affirmative answers to \cite[Problems 1 and 5]{Pa_ChFoLe} for division rings with uncountable center.https://ajmc.aut.ac.ir/article_5698_7f848746fe2599dc199a75f0d02fc3d6.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001On compact pseudo-Riemannian manifolds admitting Killing vector fields447454569510.22060/ajmc.2025.23742.1297ENRezaMirzaieDepartment of Pure Mathematic, Faculty of Science, Imam Khomeini International University, Qazvin, Iran0000-0002-9480-0222Journal Article20241209We prove some theorems about the Killing vector fields on compact and connected pseudo-Riemannian manifolds. Among other results, we present a relationship between curvature of a compact pseudo-Riemannian manifold $M$ and existence of Killing vector fields on $M$.https://ajmc.aut.ac.ir/article_5695_dfea0768cc6ba51dd20c7224016b0bd7.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001Induced deformed Finsler metric and deformed non-linear connections455466586710.22060/ajmc.2025.23772.1304ENYousefAlipour FakhriDepartment of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran0000-0002-7085-2896MehdiJafariDepartment of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, IranElhamMeihamiDepartment of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, IranJournal Article20241229In this paper, we study induced deformed non linear connections on Finsler sub-manifolds and prove that every non linear connection on a Finslerian sub-manifold is an induced deformed non-linear connection. In addition, we provide some conditions under which Finslerian sub-manifolds are Landsbergian manifolds.https://ajmc.aut.ac.ir/article_5867_fc9e62695def29ccdb9eb3fed5b4c8c8.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001Characterization and the stability of a system of multi-radical mappings related to the additive mapping467477578710.22060/ajmc.2025.23946.1341ENAbasaltBodaghiDepartment of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, IranSedighehHosseiniDepartment of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, IranJournal Article20250224In the current investigation, we define $s$-multi-radical mappings, characterize the structure of such mappings and then obtain an equation for describing them. In fact, we find a necessary and sufficient condition for a multiple mapping to be $s$-multi-radical. We also deal with the Hyers-Ulam stability in the spirit of Gavruta for an $s$-multi-radical equation by applying the so-called direct (Hyers) method in the setting of 2-Banach spaces. For a typical case, by means of a norm, induced from a 2-norm of $\mathbb R^m$, we investigate the stability of a mapping $f:\mathbb R^{mn}\longrightarrow \mathbb R^{m}$ by a known fixed point method.https://ajmc.aut.ac.ir/article_5787_a32d7eeaae19821fd9ce317f3ce952a7.pdfAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24497420261001Module version of tensorizing maps and tensor products on $C^*$-algebras479491593410.22060/ajmc.2025.24545.1437ENAhmadShirinkalamDepartment of Mathematics, CT.C, Islamic Azad University, Tehran, IranInstitute of Cognitive Computational Science, CT.C, Islamic Azad University, Tehran, IranJournal Article20250811For $C^*$-algebras $\mathfrak{A}, A$ and $ B $ where $ A $ and $ B $ are $\mathfrak{A}$-bimodules with compatible actions, we consider amalgamated $\mathfrak{A} $-module tensor product of $ A $ and $ B $ and study its relation with the C*-tensor product of $A$ and $B$ for the min and max norms. We introduce and study the notions of module tensorizing maps, module exactness, and module nuclear pairs of $ C^*$-algebras in this setting. We illustrate our results for the concrete examples of $C^*$-algebras on inverse semigroups.https://ajmc.aut.ac.ir/article_5934_7b852316cf9d2d41bec07321928afe96.pdf