University of QomMeasure Algebras and Applications3116-014X2120240820On the L_p(G) spaces as topological lattice vector groupsبررسی فضاهای L_p(G) بهعنوان گروههای برداری مشبکه توپولوژیکی113295810.22091/maa.2024.10266.1013ENMohammad AliRanjbarTeacher and free researcher0000-0002-8142-3907Seyyed HassanMyrnouriDepartment of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.0000-0002-6865-7952Journal Article20231231In this paper, we consider the L_p(G) spaces with pointwise ordering as Riesz spaces and investigate some lattice group topologies on them. In many cases, these topologies which are called link topologies or positive filter topologies are not vector topologies in the sense that the scalar multiplication is not continuous with respect to them, but they have many useful properties.https://maa.qom.ac.ir/article_2958_b5db721970449ce10caf8cc1940012db.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Complete Magic Labeling of Vertices of the Complete Bipartite Graphsبرچسبگذاری جادویی کامل رأسی گراف کامل دوبخشی1429295910.22091/maa.2024.10537.1017ENGholam HassanShirdelDepartment of Mathematics and Computer Sciences, Faculty of Science, University of Qom, Qom, Iran0000-0003-2759-4606Zahra SadatEmamyMaster of Science from Department of Mathematics, Sharif University, Tehran, IranJournal Article20240317In this paper, first, we explain the concept of magic graphs, and then we describe the complete magic labeling of the vertices of a graph. Also, some conditions that must be met so that this labeling can be done in complete bipartite graphs are stated.https://maa.qom.ac.ir/article_2959_c80380bd1136bf8e4f148c633c6e0655.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Local sequence entropy of dynamical systemsآنتروپی دنبالهای موضعی دستگاههای دینامیکی3040296010.22091/maa.2024.10505.1016ENAmirAssariDepartment of Mathematics, Jundi-Shapur University of Technology, Dezful, IranJournal Article20240311In this paper, we present a local approach to sequence entropy of compact dynamical systems. We show that, given any continuous map on a compact metric space with finitely many ergodic measures and any increasing sequence of natural numbers, there is a local sequence entropy map, in the sense that, its integral with respect to any invariant measure results in the corresponding sequence entropy.https://maa.qom.ac.ir/article_2960_f8fa44e07320b15c21cbf3dd83023c46.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Increasing the efficiency of the key generation algorithm for NTRU with the help of the norm fieldافزایش کارآمدی الگوریتم تولید کلید مشبکههای NTRU به کمک نرم میدان4170296310.22091/maa.2024.10396.1014ENRezaAlimoradiUniversity of Qom, Qom, Iran0000-0002-4881-3401Mohammad HosseinNoorallahzadehUniversity of Qom, Qom, Iran0000-0002-2146-5371AhmadGholamiUniversity of Qom, Qom, Iran0000-0001-6188-4215Journal Article20240209Conceptually, a signature scheme consists of three steps: private key generation, signature, and authentication. Private key generation in NTRU-based signature schemes on a typical laptop (Intel Core i7-6567U 3.30 GHz) takes a long time (more than one second), while signature and verification take much less time (for example, a thousandths of a second). The current paper deals with providing solutions to reduce the time of private key generation. In this paper, the previous methods are studied and then a new method based on the norm field is introduced and it is shown that the execution time is significantly reduced by using it.https://maa.qom.ac.ir/article_2963_65fdf63192d2a1eceb9847c0463b9b5c.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820A^{**}-biprojectivity of Banach algebras based on maximal ideal space{**}^A-دوتصویری جبرهای باناخ بر پایه فضای ایدهآل ماکسیمال7184296610.22091/maa.2024.10255.1012ENAmirSahamiDepartment of Mathematics, Faculty of Basic Science, Ilam University, Ilam, Iran0000-0003-0041-509XMehdiRostamiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran0000-0002-8989-0286Journal Article20231228In this paper, we continue the study of A^{**}-biprojectivity of Banach algebras, and the relation between this new notion and phi-amenability of Banach algebras is investigated. A^{**}-biprojectivity of Segal algebras and lower triangular matrix algebras is studied. Also, we introduce the notion of phi-A^{**}-biprojectivity of Banach algebras. Some examples indicate that this notion is weaker than A^{**}-biprojectivity. We obtain the relation between this notion and phi-amenability and phi-inner amenability. Finally, we investigate this new notion on certain Banach algebras such as group algebras, measure algebras, and lower triangular Banach algebras.https://maa.qom.ac.ir/article_2966_3388a3972c7ff723e5797ecf1eb2301e.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Is the space of Holder functions predual of L^1?آیا فضای توابع هلدر پیشدوگان L^1 است؟8591297010.22091/maa.2024.10469.1015ENAzinGolbaharanKharazmi University, Tehran, Iran0000-0002-0484-162XJournal Article20240301Let (X,d) be a compact pointed metric space. In this paper, we investigate the condition on the underlying metric space (X,d) which implies that the little Lipschitz space on (X,d) is predual of L^1(\mu). Then, we conclude that the space of Holder functions on every compact pointed space, and for each 0<alpha<1 is not predual of L^1(\mu).https://maa.qom.ac.ir/article_2970_2d301d3d4208b30933677a25030d0c3b.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Characterization of frames in terms of R-duals in separable Hilbert spacesساختارسازی قابها بر حسب R-دوگانها در فضاهای هیلبرت جدایی پذیر92103297510.22091/maa.2024.10714.1019ENFarkhondehTakhtehFaculty of Intelligent Systems Engineering and Data Science,
Persian Gulf University,
Bushehr, Iran0000-0002-1543-6400Journal Article20240324In this paper, we consider the concept of R-duality with respect to Riesz bases. In particular, we study the concept of R-duality with respect to Riesz bases, constructed by anti-linear operators, for Bessel sequences. Using these anti-linear operators, we give some characterizations for frames and Riesz bases.https://maa.qom.ac.ir/article_2975_928796af75066bd09365efa309bcc989.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Scalable g-frames and piecewise scalable frames in Hilbert spacesG-قابهای مقیاسپذیر و قابهای تکهای مقیاسپذیر روی فضاهای هیلبرت104118298410.22091/maa.2024.10904.1021ENMohammad RezaFarmaniFaculty of Mathematical Sciences and Computer, Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran0000-0001-6930-6559AmirKhosraviFaculty of Mathematical Sciences and Computer, Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran,0000-0003-0735-0276Journal Article20240403In this paper, we generalize the concept of scalability to g-frames, introduce scalable g-frames, obtain some characterizations for them, and demonstrate that scalability is stable under unitary operators and isomorphisms between two Hilbert spaces. In addition, we consider and study the piecewise scalability of frames in Hilbert spaces. In particular, we present some necessary and sufficient conditions for the piecewise scalability of frames in H, and we will extend this concept to the tensor product of Hilbert spaces.https://maa.qom.ac.ir/article_2984_8b06fb732d991b695713314b6b17d7cd.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820The structure of invariant and ergodic states for C*-dynamical systemsساختار حالتهای پایا و ارگودیک برای *C-دستگاههای دینامیکی119129298610.22091/maa.2024.10781.1020ENMohammadNekoufarDepartment of Mathematics, Andimeshk Branch, Islamic Azad University, Andimeshk, Iran0000-0001-8524-3578Journal Article20240331In this paper, the invariant and ergodic states corresponding to a C*-dynamical system are introduced and the structures of these sets are studied. To do this, we use the concept of the lift of a C*-dynamical system.https://maa.qom.ac.ir/article_2986_db442dd80b0fe4dfe10b8bafe9e4f205.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Invariant measures of action of amenable groups and their entropyاندازههای پایای عمل گروههای میانگینپذیر و آنتروپی آنها130141298710.22091/maa.2024.10600.1018ENAlirezaAlehafttanDepartment of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran0000-0002-2886-5482HosseinKasiriDepartment of Mathematics, Jundi-Shapur University of Technology, Dezful, Iran0000-0003-2128-2513MehranHosseinzadeh DizajDepartment of Electrical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran0000-0001-5986-0003Journal Article20240412In this article, with the help of the concept of diagonal measure, we define an information function for the amenable group action on a compact metric space and then obtain the entropy of the group action from it. In other words, we show that the integral of the defined information function will be equal to the entropy of the amenable group action.https://maa.qom.ac.ir/article_2987_b43275fd647f35a2997ea8a908d3a1a3.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Topological groups with three relative commutativity degreesگروههای توپولوژیک با سه درجه جابهجایی نسبی142153299510.22091/maa.2024.11077.1022ENSeyyed AliMoosaviDepartment of Mathematics, Faculty of Basic Science, University of Qom, Qom, Iran0000-0003-4035-2548Journal Article20240420Suppose that G is a compact Hausdorff topological group and H is a closed subgroup of G. The relative commutativity degree of H in G, denoted by Pr(H,G), represents the probability that an element of H commutes with an element of G. Let D(G) be the set of all relative commutativity degrees of subgroups of G. In this paper, we will study the structure of topological groups that have exactly three relative commutativity degrees for their subgroups. In particular, we will show that for such groups, the centralizer of every non-central element is a maximal abelian subgroup. We will also provide examples of groups that have three relative commutativity degrees.https://maa.qom.ac.ir/article_2995_d54d3e09c244427970003c38f48596b5.pdfUniversity of QomMeasure Algebras and Applications3116-014X2120240820Tensor products for α-duals of g-frames and fusion frames in Hilbert C∗-modulesحاصلضربهای تانسوری برای α-دوگانهای g-قابها و قابهای مخلوط در ∗C-مدولهای هیلبرت154164299610.22091/maa.2024.11097.1023ENFatemehZamani MirarkoulaeiDepartment of Mathematics, Kharazmi University, Tehran, Iran.0009-0003-2530-4190Journal Article20240421In this paper, we show that the tensor product of a finite number of α-duals for standard g-frames (resp. standard fusion frames) is an α-dual for the tensor product of the standard g-frames (resp. the standard fusion frames) in the tensor product of Hilbert C*-modules.https://maa.qom.ac.ir/article_2996_bccdc2d3e4c9aaefa8c21d104bd01034.pdf