Open Access
Research Article·pp. i–vii·Vol. 29, Issue 5May 2026
Ahmed J. Obaid, Abid Hussain, Jyoti Sekhar Banerjee, Shaymaa Maki Kadham
Published Online: 22 May 2026DOI: 10.47974/JDMSC-29-5-Foreword In this paper: This special issue titled “Frontiers in Discrete Mathematics and Modern Cryptographic Applications”, presents new developments at the interface of discrete mathematical objects and modern cryptographi...
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Open Access
Research Article·pp. 1895–1901·Vol. 29, Issue 5May 2026
Atwar Ahmed Abboodi, Ameera Nema Alkiffai, Hassan Rashed Yassein
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2350 In this paper: In this study, a novel encryption system is proposed that uses four nucleotide bases instead three in the original system DNA, which provides a high secure that helps to protect the data from surges a...
Open Access
Research Article·pp. 1903–1912·Vol. 29, Issue 5May 2026
Ebtehal Talib, Aseel Wadood Majeed, Zainab Jalil Taher
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2351 In this paper: This article, two-level encryptions algorithms combining two chaotic maps (logistic and tent maps) is proposed for images encryptions. These maps are used to encrypt an image to verify if the safe cip...
Open Access
Research Article·pp. 1913–1918·Vol. 29, Issue 5May 2026
Shaheed Jameel Al-Dulaimi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2352 In this paper: In this work, introduce the concept of Loc (SP) hollow-fuzzy Modules & study the fundamental features of this kind. Also, add several new concepts with their proofs and investigate several conditions...
Open Access
Research Article·pp. 1919–1925·Vol. 29, Issue 5May 2026
Farhan Dakhil Shyaa, Inaam Mohammed Ali Hadi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2353 In this paper: In this research, a new concept is introduced and studied: semiprime submodules related to ideals, semiprime modules relative to ideals, and weakly semiprime submodules relative to ideals. Many result...
Open Access
Research Article·pp. 1927–1931·Vol. 29, Issue 5May 2026
Aseel H. Ali, Mayssam Fadel Abood, Muna Jasim Mohammed
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2354 In this paper: The theoretical construct of a T-pure sub hyper module also T-pure sub hyper module relative to a sub hyper module are introduced. Varies attributes of these constructs are currently under investigati...
Open Access
Research Article·pp. 1933–1938·Vol. 29, Issue 5May 2026
Shaymaa A. Muheyaddin, Rafah Alaa Abdulrazzaq, Buthyna Najad Shihab, Hatam Y. Khalaf
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2355 In this paper: In this research, a new type of fuzzy modules, namely the featured fuzzy modules, has been studied. This concept is defined in terms of the fuzzy ideal derived from the ring. It is characterized by th...
Open Access
Research Article·pp. 1939–1946·Vol. 29, Issue 5May 2026
Mehdi S. Abbas
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2356 In this paper: The dual notions of endomorphism small-essential submodules (ESE) and annihilator large-superfluous submodules (ALS) are suggested and justified. Using these notions, we present a general characteriza...
Open Access
Research Article·pp. 1947–1956·Vol. 29, Issue 5May 2026
Munthir Bahir Tuieb, Mohammed Hussein Ahmed, Ahmed Kareem Shibeeb, Mohamed Abdulrahman Abdulhamed
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2357 In this paper: Undetectable capabilities, capacity, and security are the biggest challenges facing information hiding in images. This paper presents methods to address these challenges. It utilizes an advanced deep...
Open Access
Research Article·pp. 1957–1963·Vol. 29, Issue 5May 2026
Manal Al-Labadi, Eman Almuhur, Shuker Khalil, Huda Almwail
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2375 In this paper: This paper introduces m-geodetic graphs as a new concept and gives complete characterizations of perfectly m-geodetic zero-divisor graphs. Additionally, it provides necessary and sufficient conditions...
Open Access
Research Article·pp. 1965–1970·Vol. 29, Issue 5May 2026
Abdalgabar K. Yahea, Ruma Kareem K. Ajeena
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2376 In this paper: In several encryption algorithms, the key exchange scheme (KES) type: Diffie-Hellman is used as a fundamental tool. In this paper, a new KES model has been proposed as an alternative contribution for...
Open Access
Research Article·pp. 1971–1976·Vol. 29, Issue 5May 2026
Maysaa Zaki Salman, Dunya Mohamed Hameed, Afrah M. Ibraheem
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2377 In this paper: In the context of automorphism σ defined on a prime Γ-ring Q, we explored various results related to commutativity within Q by examining a generalized reverse σ-derivations Ħ and Ɠ of Q that satisfy a...
Open Access
Research Article·pp. 1977–1983·Vol. 29, Issue 5May 2026
Muna Sh. G. Shnain, Ameer A. J. Al-Swidi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2378 In this paper: This work introduces the important result related to a concepts for maximal prime and minimal prime ideals in a non-commutative near ring. We determined the relations among these notions with other ki...
Open Access
Research Article·pp. 1985–1990·Vol. 29, Issue 5May 2026
Sura Ahmed Saeed, Mahdi Saleh Nayef
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2379 In this paper: The first aim of this study is to generalize the concept of a Duo-module, introducing the Rational Closed Duo Module (RC-DU-module). The second aim is to discuss its relationship with other concepts a...
Open Access
Research Article·pp. 1991–1996·Vol. 29, Issue 5May 2026
Zahra Moaed Abd Al-Majeed, Zainab Raad Shaker, Mahdi Saleh Nayef
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2380 In this paper: The main purpose for this work, we introduce and study a concept for pure rationally extending modules on the class of rationally extending modules by using pure submodules and direct summands. This p...
Open Access
Research Article·pp. 1997–2003·Vol. 29, Issue 5May 2026
Adwia Jassim Abdul-Alkalik, Aseel Amer Hassan
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2381 In this paper: Assume G is the commutative rings with identity and Q is the left G-modules. An aim for this research is to present and study a new concept (Z-small primary submodules), which is a generalization of a...
Open Access
Research Article·pp. 2005–2011·Vol. 29, Issue 5May 2026
Ali Shebl Ajeel, Omar Abdulrazzaq Abdullah, Mohmad Essa Dahash, Abdelwahhab Mohammed El-Najjar, Akram Salem Mohammed
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2382 In this paper: This work studies a novel generalization of primary ideals called ᶒ-primary ideals in commutative rings. We aim to investigate properties of primary ideals that extend naturally to ᶒ-primary ideals. I...
Open Access
Research Article·pp. 2013–2018·Vol. 29, Issue 5May 2026
Nermen J. Khalel
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2383 In this paper: This study examines the Mpolynomial defined by M(G; α, β) = ∑i ≤ j mij (G)αi βj of the prime graph associated with certain Commutative rings. The M-polynomial is a tool in graph theory that encodes de...
Open Access
Research Article·pp. 2019–2025·Vol. 29, Issue 5May 2026
Ahmed K. Mawlood, Nuhad S. Al-Mothafar
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2671 In this paper: This work studies the concept for P-essential coessential submodules and P-essentials coclosed sub - module that is over commutating ring with identity. Consider Q as S-module with V ≤ W ≤ Q, then V i...
Open Access
Research Article·pp. 2027–2033·Vol. 29, Issue 5May 2026
Maryam Kareem Chitheer, Abdulrahman H. Majeed
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2672 In this paper: Studying Prime rings’ involutional commutativity that satisfies particular identities with left centralizers is the main objective of this research. Many well-known theorems are generalized in the res...
Open Access
Research Article·pp. 2035–2040·Vol. 29, Issue 5May 2026
Karrar Taher R. Aljamaly, Zainab Flaih Hassan, Sadeq Hamdallah Naji
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2673 In this paper: The key point in this paper is the definition of new mathematical concepts based on point doubling and addition on the Edward curve group and matrix power functions. The basic idea is known as the Edw...
Open Access
Research Article·pp. 2041–2045·Vol. 29, Issue 5May 2026
Noor Mejbel Hussein, Shatha Abdul-Hussein Kadhim, Noor Ghanem Abd-Allah, Areej Tawfeeq Hameed
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2674 In this paper: This paper establishes the concept of intuitionistic FBD-sub-algebra within BD-Algebras, along with proofs of multiple properties and theoretical results. We proved where f is an epimorphism on the BD...
Open Access
Research Article·pp. 2047–2053·Vol. 29, Issue 5May 2026
Akram Ghanim Algam, Salah Mahdi Aflook, Khudhayer O. Kadem, Mustafa G. Al-Mousawi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2675 In this paper: In this work, the Mine.2. Absorbing concept (for short Mi. 2. AB) over a commutative ring with a nonzero identity has been presented. This concept is considered a strong form of 2. Absorbing using the...
Open Access
Research Article·pp. 2055–2062·Vol. 29, Issue 5May 2026
Noor Al-Huda Ali Khudair, Mohammed Shakir Mahdi Zabiba
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2676 In this paper: Evaluating the reliability of complex network systems is crucial to the efficiency of their operations and the continuity of applications in sectors of strategic importance (e.g., aviation, telecommun...
Open Access
Research Article·pp. 2063–2068·Vol. 29, Issue 5May 2026
Fatima AbdAljwad Abdalla Alathari, Intissar Abdulhur Kadum
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2677 In this paper: This work presents a novel cryptosystem, UQTRU, based on the QTRU cryptosystem, using truncated polynomial rings whose coefficients are roots of unity. This multidimensional public key cryptosystems b...
Open Access
Research Article·pp. 2069–2076·Vol. 29, Issue 5May 2026
Naba Hasson Jabi, Intissar Abdulhur Kadum
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2678 In this paper: This is our first start 𝜓- algebra, 𝜓- ideals of 𝜓- algebra. We explain BIF-set, BIF-𝜓-ideals of 𝜓-algebra, expended translation BIF-𝜓-ideals of 𝜓- algebra, we discuss some results of images and pre-i...
Open Access
Research Article·pp. 2077–2082·Vol. 29, Issue 5May 2026
Amal Madhi Rashid, Buthyna Najad Shihab
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2679 In this paper: The M is unitary module and F is commutative rings with identities. The definition of novel classes F-modules that named, S-pseudo bounded modules for short (S-PS.B.). F- The modules has been studied...
Open Access
Research Article·pp. 2083–2087·Vol. 29, Issue 5May 2026
Sattar Kamel Hussein, Buthyna Najad Shihab
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2680 In this paper: The class of 𝑚𝑜𝑑𝑢𝑙𝑒s is introduced in this paper. We study and discuss the classes for the 𝑚𝑜𝑑𝑢𝑙𝑒, named Endo-Greatly Bounded module, which is briefly introduced as (Endo-G.B. 𝑚𝑜𝑑𝑢𝑙𝑒s) and 𝑚𝑜𝑑𝑢𝑙𝑒s Hom...
Open Access
Research Article·pp. 2089–2094·Vol. 29, Issue 5May 2026
Zinah T. Abdulqader
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2681 In this paper: In this work, we employ the L – space in order to study some notions such as L – interior operator and L – exterior operator. Many properties of these notions have been studied, and they are important...
Open Access
Research Article·pp. 2095–2100·Vol. 29, Issue 5May 2026
Rusul Ahmed Flayyih, Suha Raisan Harbi, Ahlam Abdulkareem Mahdi, Huda Ali Falih, Emad Abbas Kuffi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2682 In this paper: In this paper, a novel cryptographic approach based on the ES transform is proposed for secure text encryption and decryption. The method employs the Emad–Sara transforms to convert plaintext into an...
Open Access
Research Article·pp. 2101–2108·Vol. 29, Issue 5May 2026
Mustafa K. Mashre, Wasan Khalid
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2711 In this paper: It is known that a module T is called-e*s-Extending if for every e*s-closed submodule B of T for some a complemented submodule S of T such that B≤_(e*s) S, as a generalization of an e*-Extending modul...
Open Access
Research Article·pp. 2109–2116·Vol. 29, Issue 5May 2026
Sameer Kadem, Ali A. Aubad
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2712 In this paper: Let R be a ring and let J be a proper ideal of R. In this work, we focus on the ideal-based non-zero divisor graph ∅J (R), whose vertices consist of the elements lying outside J, while adjacency is de...
Open Access
Research Article·pp. 2117–2122·Vol. 29, Issue 5May 2026
Khitam Sahib Aljebory, Rasha Najah Mirza
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2713 In this paper: In this paper, new generalizations of injective (projective) semimodules are introduced. Some of its characterizations are discussed, as well as some properties of quasi-injective and quasi-projective...
Open Access
Research Article·pp. 2123–2129·Vol. 29, Issue 5May 2026
Najlaa Murad Kadhim, Thaar Younis Ghawi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2714 In this paper: In this article, we introduce and investigate a novel notion called Rad coquasi-Dedekind module which is a proper generalization of coquasi-Dedekind module. A left ℛ-module ℳ is called Rad coquasi-Ded...
Open Access
Research Article·pp. 2131–2138·Vol. 29, Issue 5May 2026
Ellaf Hassan Mahmood, Ali A. Aubad
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2715 In this paper: This paper presents a quantification of the complex geometry of symmetric A4-graph constructed from Conway group Co3 and a particular category of Co3 by calculating its complete topological descripto...
Open Access
Research Article·pp. 2139–2146·Vol. 29, Issue 5May 2026
Firas Sh. Fandi, Intisar M. Mohammed
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2716 In this paper: In this research, we presented new types of modules, which are ℱ -extending modules, ℱ-Goldie extending (ℱ-𝒢-extending module) and a unique ℱ-closure module (𝒰ℱ𝒞 -module), Which are generalizations f...
Open Access
Research Article·pp. 2147–2152·Vol. 29, Issue 5May 2026
Abdulqader Faris, Mustafa A. Aziz, Saad A. Al-Saadi
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2717 In this paper: This article introduces and studies the concept of congruence-injective S-act over monoids S as a new generalization of injectivity in act theory. This approach is based on congruence and extends the...
Open Access
Research Article·pp. 2153–2160·Vol. 29, Issue 5May 2026
Haider M. Ridha, Nuhad S. Al-Mothafar
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2718 In this paper: Let S be a commutative ring with identity and let U be an (left) unitary S-module (for brief S-mod). This paper presents a detail and study the concepts of purely small compressible (pu-s-comp) and pu...
Open Access
Research Article·pp. 2161–2167·Vol. 29, Issue 5May 2026
Zahraa Abbas Fadel, Mahdi Saleh Nayef
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2719 In this paper: This paper investigates the concept of annihilator essential injectivity in the setting of R-modules, where R is unital ring. An R-module M2 is termed annihilator essentially M1-injective if every R-h...
Open Access
Research Article·pp. 2169–2177·Vol. 29, Issue 5May 2026
Zainab T. Alzubiadey, Nuhad S. Al-Mothafar, Aseel Amer Hassan
Published Online: 22 May 2026DOI: 10.47974/JDMSC-2720 In this paper: In this paper, we give a new generalization for important class in the category of modules. There are 2-purely extending and the direct sum of 2-purely extending R-modules. In this work, study the rel...
