Open Access
Research Article·pp. i–viii·Vol. 28, Issue 2Mar 2025
Mohammad Reza Farahani, Mehdi Alaeiyan, Hayder Baqer Ameen, Xiujun Zhang, Murat Cancan
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-28-2-Foreword In this paper: This special issue of “Applied Discrete Mathematics, Combinatorics, Cryptography, Computer Science and Computation”, presents a selection of cutting-edge research in the fields of cryptography, algeb...
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Open Access
Research Article·pp. 303–309·Vol. 28, Issue 2Mar 2025
Farhan Dakhil Shyaa
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-1852 In this paper: We outline the ideas of approximately 2-absorbing and weakly approximately 2-absorbing submodules and list the fundamental characteristics of these submodule classes. This is a generalization of prime...
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Research Article·pp. 311–319·Vol. 28, Issue 2Mar 2025
Jinan A. Jasim, Maysam Rahi Ali, Emad A. Kuffi
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-1856 In this paper: This work introduces the Kuffi- Abbas- Jawad transform, also known as the KAJ- integral transformation. We discuss key KAJ- transition properties and their cryptographic applications. An application i...
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Research Article·pp. 321–331·Vol. 28, Issue 2Mar 2025
Doaa Sachit Mutar, Farhan Dakhil Shyaa
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-1868 In this paper: The notion of 2J-ideals in commutative rings is presented in this article. The symbols N(A) and J(A) stand for A’s nil-radical and Jacobson radicals, respectively. In this paper, we present and invest...
Open Access
Research Article·pp. 333–340·Vol. 28, Issue 2Mar 2025
Husseins Alοffie, Yοusief S. Eassa, Khalid Sh. Al’Dzhabri
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-1869 In this paper: The purpοse οf this study is tο use a nοvel definitiοn οf the⨮IGm-clοsure οperatοr οn οut-linked digs tο prοduce cοnstructiοn οf tοpοlοgy οn the pοwer set οf vertices οf digs. Sοme tοpοlοgical structu...
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Research Article·pp. 341–348·Vol. 28, Issue 2Mar 2025
Anwar Rahm Obaid, Akeel Ramadan Mehdi
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-1915 In this paper: New kind of modules called SAS-N-flat module is considered and investigated in this article as a proper generalization of N-flat module. Many properties and characterizations of this kind of modules a...
Open Access
Research Article·pp. 349–354·Vol. 28, Issue 2Mar 2025
Kawthar Abdulabbas Hassoon, Hassan Rashed Yassein
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2018 In this paper: The security of information must be maintained is necessary to be maintained because different data is distributed via networks that raises the possibility of data loss. In this paper, is concerned wi...
Open Access
Research Article·pp. 355–359·Vol. 28, Issue 2Mar 2025
Abeer Hussein Ali, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2019 In this paper: The target of this treatise is to prove that the concatenation of the terms of characteristic zero (cha.zer.) resolution (reso.) is complex in the case (9,8,3) by ply the injective of maps, Capelli id...
Open Access
Research Article·pp. 361–367·Vol. 28, Issue 2Mar 2025
Asia Aqeel Abidalzahra, Hassan Rashed Yassein
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2023 In this paper: A multidimensional public-key MaTRU cryptosystem improves NTRU works under the same generic parameters as NTRU, except for a different ring with a different mathematical structure. In this paper, a ne...
Open Access
Research Article·pp. 369–373·Vol. 28, Issue 2Mar 2025
Ban Hussein Ali, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2021 In this paper: R is a commutative ring has 1, F is a free R-module and Di F be the divided power algebra of degree i. For the two-rowed Weyl module (W.M.) the contracting homotopy and the exactness of the series of...
Open Access
Research Article·pp. 375–380·Vol. 28, Issue 2Mar 2025
Dalael Saad Abdul-Zahra, Hassan Rashed Yassein
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2022 In this paper: With the exponential growth of technology and increasing reliance on digital platforms, the security of our personal and sensitive information is constantly at risk. Data breaches and cyber threats ha...
Open Access
Research Article·pp. 381–385·Vol. 28, Issue 2Mar 2025
Estbraq Fleeh Hassan, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2020 In this paper: By applying and proving that Si–1 ∂x + ∂x Si = idMi for i = 0, 1, 2, …, 8 are contracting homotopy by considered two-rowed Weyl module, also prove the exactness of the sequence of the terms of Weyl re...
Open Access
Research Article·pp. 387–392·Vol. 28, Issue 2Mar 2025
Banen Najah Abass, Hassan Rashed Yassein
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2024 In this paper: Many problems have arisen due to our reliance on exchanging data via insecure media, the most important of which is the penetration of that data by unauthorized parties, which requires securing it thr...
Open Access
Research Article·pp. 393–397·Vol. 28, Issue 2Mar 2025
Shakir Jawad Abd, Hayder Baqer Ameen
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2025 In this paper: In this paper, we introduced a new graph, it is called complement subgroup product graphs (CSPG) derived from cyclic groups. The set of vertices is the proper subgroup of group G and for each two prop...
Open Access
Research Article·pp. 399–408·Vol. 28, Issue 2Mar 2025
Awrad A. Al-alawani, Ameer A. J. Al-Swidi
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2048 In this paper: In our work, the new concept of union in certain graphs: WI(N), API(N), ΓI(N) and PGI(N) are dealt, which depends on the case of the intersection of edges in the subgraphs in which it equals an empty...
Open Access
Research Article·pp. 409–413·Vol. 28, Issue 2Mar 2025
Abeer Hussein Ali, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2049 In this paper: The sequence of the elements of characteristic-free (Char.F.) Weyl resolution (We.Re.) for the case (9,8) is exact is the target of this treatise by prove that every definition maps are contracting ho...
Open Access
Research Article·pp. 415–421·Vol. 28, Issue 2Mar 2025
Baraa Abd Alhussain, Asaad Mohammed Ali Alhossaini
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2281 In this paper: Previously, some authors have presented a study on the e-small projective Modules. The aim of this paper provides as comprehensive study as possible about e-small Projective semimodules and related co...
Open Access
Research Article·pp. 423–427·Vol. 28, Issue 2Mar 2025
Estbraq Fleeh Hassan, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2051 In this paper: R has 1 and commutative ring, F is a free R-module and Di F be the divided power algebra of degree i. By applying capelli identities, diagrams and place polarization we prove that the sequence of the...
Open Access
Research Article·pp. 429–437·Vol. 28, Issue 2Mar 2025
Woroodm.alkhalide@uokufa.edu.iq Salah, Haneen Al-Janabi, Hussein Jeddoa Mehdi, Hayder Baqer Ameen, Shaymaa Maki Kadham
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2059 In this paper: In mathematical chemistry, we periodically use the graphs. In particular, the vertex in G is refers to the atom in a molecule, and the edge is refers to the bonds. The main object is to study the char...
Open Access
Research Article·pp. 439–449·Vol. 28, Issue 2Mar 2025
Haneen Al-Janabi, Hussein Jeddoa Mehdi, Hayder Baqer Ameen, Shaymaa Maki Kadham
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2060 In this paper: The graph that has vertices as elements in a commutative ring R, such that u and v are adjacent only if uv = 0, is called the zero-divisor graph, Π(R). We study the domination of Π(Zn) for all parts o...
Open Access
Research Article·pp. 451–456·Vol. 28, Issue 2Mar 2025
Zainab Subhi Mustafa, Zahraa S.M. Alhaidary, Lemya Abd Alameer Hadi, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2061 In this paper: Everywhere in this paper R has 1 and a commutative ring, F is a free R-module and DiF is the divided power (di.po.) algebra of degree i. The goal of this study is to find the complexness of the sequen...
Open Access
Research Article·pp. 457–461·Vol. 28, Issue 2Mar 2025
Dunya Mohamed Hameed
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2063 In this paper: Several concepts are presented within this article that will be utilized in the diagonal matrix calculation and compute the (ω⊗ (≡ * Dƿ), ƿ ≥ 3 is prime number. Where ω⊗ (≡ * Dƿ) is indicate for the t...
Open Access
Research Article·pp. 463–467·Vol. 28, Issue 2Mar 2025
Zainab Subhi Mustafa, Marwa Riyadh Saleh, Nibras Yasir Khudair, Niran Sabah Jasim
Published Online: 21 Mar 2025DOI: 10.47974/JDMSC-2062 In this paper: The goal of this studied is to prove that the sequence terms of the Weyl resolution (Wey. Res.) of the characteristic-free (ch.fr.) resolution is exact in the status (8,8) with overlap (2,4) thus the...
Open Access
Research Article·pp. 469–474·Vol. 28, Issue 2Mar 2025
Hassan H. Fandy, Khalid Sh. Al’Dzhabri
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2211 In this paper: The admixture vertex edges system is the central idea of this paper, which are used serve to present, the new space called A-space. We present the essential and required foundation for the ideas of A-...
Open Access
Research Article·pp. 475–490·Vol. 28, Issue 2Mar 2025
Faryal Chaudhry, Noor Mejbel Hussein, Azhar Ali Abbas, Deeba Afzal, Wasim Abbas, Mohammad Reza Farahani, Mehdi Alaeiyan, Murat Cancan
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2247 In this paper: If the distances between two vertices in a simple connected network are different, then a vertex x resolves the pair u and v. A set S of vertices in G is referred to as a resolving set if every pair o...
Open Access
Research Article·pp. 491–509·Vol. 28, Issue 2Mar 2025
Faryal Chaudhry, Mohammed Abdul Jaleel Maktoof, Sura Hamed Mousa, Umar Farooq, Mohammad Reza Farahani, Mehdi Alaeiyan, Rahul Raj Choudhary, Muhaned Zaidi et al.
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2248 In this paper: In this article, we dive into the metric dimension of various lattice networks, focusing on Bakelite, Backbone DNA, and Polythiophene networks. The metric dimension is a crucial graph invariant that h...
Open Access
Research Article·pp. 511–524·Vol. 28, Issue 2Mar 2025
Faryal Chaudhry, Azhar Ali Abbas, Mohammed Abdul Jaleel Maktoof, Umar Farooq, Mohammad Reza Farahani, Mehdi Alaeiyan, Murat Cancan
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2249 In this paper: In molecular topology and chemistry, resolving sets and metric bases are essential concepts. They have numerous applications in computer science, artificial intelligence, chemistry, pharmacy, traffic...
Open Access
Research Article·pp. 525–529·Vol. 28, Issue 2Mar 2025
Waleed Khalid Jaber, Niran Sabah Jasim
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2250 In this paper: The consideration of the complex of Lascoux for (11,10,3;1,1) by usage the divided power (d.p.) of the place polarization (p.p.)., diagrams (dig.) and Capelli identities. The kth d.p. of p.p. from pla...
Open Access
Research Article·pp. 531–535·Vol. 28, Issue 2Mar 2025
Yahya Muhi Kadhim, Haytham R. Hassan
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2251 In this paper: The elements of the complex of characteristic-zero resolution for the partition (13,10,3)/(0,0) survey in this work with prove that the sequence (seq.) of these term is complex, for any commutative ri...
Open Access
Research Article·pp. 537–542·Vol. 28, Issue 2Mar 2025
Semaa Hassan Aziz, Abdulahman H. Majeed
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2252 In this paper: In this work we find the cyclic decomposition for the groups SU(3,9) and SU(2,25) after we compute the conjugacy classes and the character table of rational representations for each group.
Open Access
Research Article·pp. 543–548·Vol. 28, Issue 2Mar 2025
Yahya Muhi Kadhim, Haytham R. Hassan
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2053 In this paper: This research study the application of Weyl module and gain the elements of characteristic free for (13,10)/(1,1) by using the polarization and latter place-algebra with capelli-identities and contrac...
Open Access
Research Article·pp. 549–556·Vol. 28, Issue 2Mar 2025
Bushra Jaralla Tawfeeq, Sanaa Hamdi Jasem, Hula M. Salih
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2254 In this paper: In this article we present separation axioms T2-space, T2 1/2-space, T3-space, completely regular, T3 1/2-space, T4-space, completely normal and T5-space in topological Γring and study the characteris...
Open Access
Research Article·pp. 557–564·Vol. 28, Issue 2Mar 2025
Mohammed Hassan Hamza, Hadeel Hadi Abo-Alsood, Sahab Mohsen Abboud, Hassan Rashed Yassein, Zahraa Salih Shareef
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2255 In this paper: Modern technology has become a means of exchanging data but at the same time it helps hackers to access the data exchanged over the Internet, and the development of encryption techniques and ways to e...
Open Access
Research Article·pp. 565–568·Vol. 28, Issue 2Mar 2025
Wedyan Maher Kadhim, Showq Mohammed Abrahem
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2256 In this paper: The document outlined the definition of F-pseudo Z-b-subalgebra in addition to introducing fundamental properties. Multiple theorems have been established throughout the discussion using appropriate e...
Open Access
Research Article·pp. 569–575·Vol. 28, Issue 2Mar 2025
Zainab Yasir Alrikabi, Ahmed A. Omran, Sarah Ali Abdulkareem, Tushar Aggarwal
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2259 In this paper: This paper initiated the new domination number, which is named the co-regular captive, it is linked to two numbers of dominations they are captive domination number (CDN) and r-regular captive dominat...
Open Access
Research Article·pp. 577–585·Vol. 28, Issue 2Mar 2025
Hayder Jasim Yousif, Ali Ameer, Hatem Kareem Sulaiman
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2260 In this paper: This paper discussed a new parameter in the fuzzy graph FG = (Ω, η). This parameter is named the cutoff fuzzy domination number and is represented by (γcf) and tested in a strong fuzzy graph. Some fea...
Open Access
Research Article·pp. 587–591·Vol. 28, Issue 2Mar 2025
Suhailah Abdalabbas Chyad, Thaar Younis Ghawi
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2261 In this paper: This note proposes and examines the notion of S*k-nonsingular module which is a new type of module theory. The characterization of this property over rings and modules is investigated. Moreover, a few...
Open Access
Research Article·pp. 593–610·Vol. 28, Issue 2Mar 2025
Muhammad Kamran Naseer, Bushra Kadhum Awaad, Hayder Abdulameer Yousif Al-Iessa, Muhammad Saqlain Zaki, Abdul Waheed, Sumit Kaushal, Zuhra Muter Saleh, Wissam Aziz Yousif et al.
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2278 In this paper: In this study, we delve into the evaluation of graph entropy through the lens of topological properties inherent in crystallographic structures. Specifically, we focus on the crystallographic structur...
Open Access
Research Article·pp. 611–615·Vol. 28, Issue 2Mar 2025
Waleed Khalid Jaber, Niran Sabah Jasim
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2279 In this paper: Many applications can be apply for the skew shape (11,10,3;1,1) in this search we emply the mapping Cone (map.Co.) to gain the sequence (sequ.) of the elements of the Weyl module (We.mo.) resolution (...
Open Access
Research Article·pp. 617–623·Vol. 28, Issue 2Mar 2025
Alaa Hussein Ali, Asaad M. A. Alhossaini
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2280 In this paper: Previously, some authors have studied the concept of small submodules regarding semirings. This research aims to provide a comprehensive study of small modules and some related concepts as: cosemisimp...
Open Access
Research Article·pp. 625–629·Vol. 28, Issue 2Mar 2025
Ban Hussein Ali, Niran Sabah Jasim
Published Online: 11 Apr 2025DOI: 10.47974/JDMSC-2050 In this paper: The sequence of the complex terms in the state (9,6,3) is complex are proved in this work by using sketch, place polarization, Capelli identities and the injective of maps. In this work R is a commuta...
