Open Access
Research Article·pp. 1007–1264·Vol. 28, Issue 4-AJun 2025
Jyoti Sekhar Banerjee, Ahmed J. Obaid, Zdzisław Pólkowski
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-28-4-A-Foreword In this paper: In this special issue titled “Topology and Linear Algebra in Cryptographic Security: New Frontiers in Cryptanalysis”, we explore the intricate relationship between advanced cryptographic techniques an...
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Open Access
Research Article·pp. 1007–1013·Vol. 28, Issue 4-AJun 2025
Marwa Sh. Hatem, Fatema F. Kareem
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2026 In this paper: This paper refers to studying some types of ideals, specifically cubic bipolar ideals and cubic bipolar T-ideals of TM algebra. It also introduces a cubic bipolar sub-TM-algebra and several important...
Open Access
Research Article·pp. 1015–1023·Vol. 28, Issue 4-AJun 2025
Showq Mohammed Abrahem, Alaa Salih Abed
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2035 In this paper: The concepts of cubic JD-Fuzzy Ideals are introduced, & many properties are studied. Their image and their inverse image in BH-algebras are defined & investigated. We’ll refer to BH-algebra by BH-G, f...
Open Access
Research Article·pp. 1025–1030·Vol. 28, Issue 4-AJun 2025
Abdulqader Faris, Saad A. Al-Saadi
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2028 In this paper: In this article, we introduce the notion of fully stable semiring. Several equivalent definitions of this concept exist, and numerous classical constructs satisfy a fully stable semiring, such as the...
Open Access
Research Article·pp. 1031–1036·Vol. 28, Issue 4-AJun 2025
Shireen O. Dakheel, Zaynab Anwer Ahmed, Muna Jasim Mohammed
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2029 In this paper: We claim that a proper subact Ṅ have been compactly packed (c.P) in generalization idea of c.P modules to S-Acts. whether for all family of prime subact {Pα}(α∈λ) for some β∈λ Pβ ⊇ Ṅ when ∪(α∈λ)Pα...
Open Access
Research Article·pp. 1037–1050·Vol. 28, Issue 4-AJun 2025
Alyaa A. Abbas, Zahraa Maan Sallal
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2030 In this paper: As ATM cards, credit cards, and mobile banking become more convenient, online banking is becoming more popular around the world. Usernames, passwords, CVVs, and OTPs, although traditionally used for a...
Open Access
Research Article·pp. 1051–1058·Vol. 28, Issue 4-AJun 2025
Zaid Abdulaziz Abdulrazzaq, Mahdi Saleh Nayef, Mohamed Hbaib
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2031 In this paper: In our research paper, we will introduce some classes of modules named (semi-continuous modules and quasi-semi-continuous modules) (briefly, SECO-modules and Q-SECO-modules), which are proper general...
Open Access
Research Article·pp. 1059–1065·Vol. 28, Issue 4-AJun 2025
Alaa Salih Abed, Noor Dhahir Abbas
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2032 In this paper: This paper aims to announce the concept of operator (¬∝,β,γ,ϖ,ε,τ) in intuitionistic fuzzy BRK–subalgebras. It states and evidences a amount of belongings. All ψ ∈ BRK-algebra (Ψ; *, 0) intuitionistic...
Open Access
Research Article·pp. 1067–1074·Vol. 28, Issue 4-AJun 2025
Showq Mohammed Abrahem, Basma M. Zwain, Noor Dhahir Abbas
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2033 In this paper: This paper introduced the notions of bipolar-valued fuzzy RG-subalgebras on RG -RG-algebras and related properties. A number of theorems are posited backed by relevant examples. Afterwards, we present...
Open Access
Research Article·pp. 1075–1079·Vol. 28, Issue 4-AJun 2025
Nada Hadi Malik
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2034 In this paper: In this paper, we introduce homomorphisms of BD-algebra and investigate its properties. Moreover, the relations between quotient BD-algebra and isomorphism also provided.
Open Access
Research Article·pp. 1081–1089·Vol. 28, Issue 4-AJun 2025
Marwa Sh. Hatem, Fatema F. Kareem, Bijan Davvaz
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2027 In this paper: This study investigated the cubic intuitionistic fuzzy set of TM-algebra as a generalization of the cubic set. First, a cubic intuitionistic ideal and a cubic intuitionistic T-ideal are defined, foll...
Open Access
Research Article·pp. 1091–1096·Vol. 28, Issue 4-AJun 2025
Haider A. Ramadhan, Ali A. Aubad, Asawer Al-Aadhami
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2036 In this paper: Assume that G ≅ HN the Harada–Norton group. In this paper, effective investment for the graph ΓRIHN standard features to acquire meaningful algebraic results for the graph ΓRIHN and its corresponding...
Open Access
Research Article·pp. 1097–1103·Vol. 28, Issue 4-AJun 2025
Ibrahim S. Ahmed, Hind F. Abbas, Samah H. Asaad
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2037 In this paper: This research studies the idea of fuzzy P*-algebra which is generalization for each of fuzzy s-algebra and fuzzy s-ring. Some properties and examples as well as the relations among these concepts are...
Open Access
Research Article·pp. 1105–1115·Vol. 28, Issue 4-AJun 2025
Ali Aldulaimi, Ines Ellouze
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2039 In this paper: Assume two random rings, L and W. It is well-established to be the L-module architecture within the form of an algebraic structure is a vector-based generalization. Similar to the ring organization, s...
Open Access
Research Article·pp. 1117–1130·Vol. 28, Issue 4-AJun 2025
Ahmed Fakhir Mutar
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2102 In this paper: An elliptic curve cryptography (ECC)-based session-critical distributed authentication method is implemented in this study to enhance data security in wireless sensor Internet of Things (IoT) devices....
Open Access
Research Article·pp. 1131–1136·Vol. 28, Issue 4-AJun 2025
Nuhad S. Al-Mothafar, Zainab T. Alzubiadey
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2103 In this paper: In this work, we give a new generalization for two important classes in the category of modules. There are Rad-small and Rad-hollow R-module. In this work, some properties and results of these submodu...
Open Access
Research Article·pp. 1137–1144·Vol. 28, Issue 4-AJun 2025
Halah Qahtan Hamdi, Nuhad S. Al-Mothafar
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2119 In this paper: In this article, the idea for this study is to present two concepts co-closed and purely co-essential sub-modules-that generalize co-closed and co-essential sub-modules. We study the relationship betw...
Open Access
Research Article·pp. 1145–1151·Vol. 28, Issue 4-AJun 2025
Manal Al-Labadi, Shuker Khalil, Ahmed Naji Hassan, Wasim Audeh
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2120 In this paper: In algebraic semigroups when we deal with classical sets every ρ-ideal does not have to be ρ–-ideal. As a result, it is demonstrated in this study with their expansion in some kinds of sets as fuzzy s...
Open Access
Research Article·pp. 1153–1158·Vol. 28, Issue 4-AJun 2025
Faten Hashim Mohammed, Rasha Mohammed Jeathoom
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2121 In this paper: This article introduces the concept for f-lifting modules definition (the R-modules W named f-lifting for T any submodule in W, there is direct summand A for W s.t. A ≤fcoeT in W). Some of the charac...
Open Access
Research Article·pp. 1159–1166·Vol. 28, Issue 4-AJun 2025
Zainab Mohsen Khalaf, Hatam Y. Khalaf
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2122 In this paper: In this paper, A topic for Τ-fuzzy prime submodule was studied, which is one for the types for partial fuzzy models. This work was divided into three sections, each for which has a study that begins b...
Open Access
Research Article·pp. 1167–1171·Vol. 28, Issue 4-AJun 2025
Adraa Abbas Sadeq, Haytham R. Hassan
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2123 In this paper: Let ℱ be a free R-module, where R is a commutative ring with 1 and DnF is the nth degree divided by power. The place polarization technique is a combinatorial approach to computing complex elements. ∂...
Open Access
Research Article·pp. 1173–1179·Vol. 28, Issue 4-AJun 2025
Ali Abbas Asmael, Shuker Khalil
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2124 In this paper: This paper provides new ideas like pseudo permutation BCK-algebra, pseudo permutation subalgebra, pseudo permutation ideal, and portion permutation. Moreover, their qualities are discussed. In this wo...
Open Access
Research Article·pp. 1181–1186·Vol. 28, Issue 4-AJun 2025
Huda Almwail, Shuker Khalil
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2125 In this paper: The concepts of intuitionistic fuzzy BZ – ideal (IFBZ – I) in BZ – algebra (BZ – A) and intuitionistic fuzzy BZ – subalgebra (IFBZ – SA) will be presented and analyzed in this work. Furthermore, the o...
Open Access
Research Article·pp. 1187–1194·Vol. 28, Issue 4-AJun 2025
Shaymaa N. Abd-Alridah
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2142 In this paper: The present article is to study a certain cases for resolutions two rows for Weyl module, where F & DrƑ are free modules over a commutative ring R & divided power algebra for degree r, respectively i...
Open Access
Research Article·pp. 1195–1199·Vol. 28, Issue 4-AJun 2025
Zainab Flaih Hassan, Hayder Jasim Yousif, Jolan Lazim Dheyab
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2143 In this paper: In this paper we define best approximation on graphs when p≥1. The great Russian mathematician P.L. Chebyshev developed approximation theory. Here we study the best on graphs and the problem of unique...
Open Access
Research Article·pp. 1201–1206·Vol. 28, Issue 4-AJun 2025
May A. A. Al-Yaseen, Hayder Kadhim Zghair, Raad Safah Abood
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2144 In this paper: The property of inverse shadowing is studied in ℤ- group with the following properties: structurally stable, transversality property, Anosov, expansivity, continuum–wise expansive and expanding. Besi...
Open Access
Research Article·pp. 1207–1213·Vol. 28, Issue 4-AJun 2025
Mahdi Saleh Nayef, Duaa Hussein Wareed
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2206 In this paper: The main objective of this work is to present and study a new generalization of annihilator maximal sub modules that is small annihilator maximal sub modules. We are investigated the relationship betw...
Open Access
Research Article·pp. 1215–1219·Vol. 28, Issue 4-AJun 2025
Ameer K. Abdulaal, Abeer Omer Akram, Layla Hindi, Niran Sabah Jasim, Doaa Saad Abdulraheem, Amna Yousif Muhammad
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2207 In this paper: R is a commute ring and has unity ring, F free R-module and DiF divided algebra, ∧F is the exterior algebra for the partition λ/μ. The series of the complex terms of the partition (12,7,4) studied in...
Open Access
Research Article·pp. 1221–1226·Vol. 28, Issue 4-AJun 2025
Salah Mehdi Salih, Dunya Mohamed Hameed
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2208 In this paper: This article targets to offer the notions of permuting 3- left (resp. right) μ -centralizers on semiring and study this concept.
Open Access
Research Article·pp. 1227–1235·Vol. 28, Issue 4-AJun 2025
Abdul Khaleq O. Al-Jubory, Ihab Hadi Jumaah
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2209 In this paper: One of the basic mathematical models in the study of differential equations is the Pantograph delay differential equation. This article effectively solves the nonlinear pantograph delay equations thro...
Open Access
Research Article·pp. 1237–1243·Vol. 28, Issue 4-AJun 2025
Kareem A. L. Alghurabi, Asaad M. A. Alhossaini
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2262 In this paper: In this paper divided into two parts, related to the concept of projective semimodule we tried to clarify the general concepts of this common topic and other concepts related to it. The first part inc...
Open Access
Research Article·pp. 1245–1255·Vol. 28, Issue 4-AJun 2025
Muna Sh. G. Shnain, Ameer A. J. Al-Swidi
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2263 In this paper: The aims for this article is to study some important result related to the concept for pseudo w-completely prime ideal in a near-ring η. We determine a relationship between pseudo w-completely prime i...
Open Access
Research Article·pp. 1257–1264·Vol. 28, Issue 4-AJun 2025
Ihab Hadi Jumaah, Alaa Jumaah Edan, Lina Ayden Hussein, Ali Ibrahim Mansour
Published Online: 26 Jun 2025DOI: 10.47974/JDMSC-2264 In this paper: In this research, we presented the notions of fuzzy soft matrix denoted by (FSM) and we provided the definition of (FSM) and we created some features the study of the definition of transpose of (FSM)...