Some Notes on Relative Commutators by Masoumeh Ganjali, Ahmad Erfanian

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CRYPTOGRAPHIC ANALYSIS OF THE CODE STRUCTURES OF HERMITE CURVE FOR COMPLIANCE WITH THE REQUIREMENTS OF INFORMATION SECURITY SYSTEMS by V. V. Pankova, S. B. Salomatin

“…Building security systems based on the algebraic-geometric codes is possible with the use of various algebraic structures with cryptographic security. This paper investigates the properties of the code sequences, built on the Hermite curve in the field GF(16), their testing on the subject of the requirements for cryptographic transformations was conducted. …”
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Combinatorial Hopf algebra of supercharacters of type D by Carolina Benedetti

“…We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular group of type {D} over a finite field. …”
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Some Results on Single Valued Neutrosophic Bi-ideals in Ordered Semigroups by H. Al-Akara, M. Al-Tahan, J. Vimala

“…So, the aim of this paper is to relate neutrosophy with some algebraic structures mainly the ordered semigroups. In this regard, we define single valued neutrosophic sets in ordered semigroups. …”
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Categorical information geometry by Perrone, P

“…Categorical probability has a similar aim, but uses algebraic structures, primarily monoidal categories, for that purpose. …”

O Movimento da Construção das Estruturas da Álgebra: uma visada fenomenológica The Movement of the Construction of the Structures of Algebra: a phenomenological approach by Verilda Speridião Kluth

“…<br>This article has as a purpose to introduce, briefly, a Phenomenological investigation about the construction knowledge of the Algebra structures, which moves around the Mathematics Philosophical Education focused on the question: how is the thinking shown in the movement of the knowledge construction of the Algebra structures? …”
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Tensor Product of Neutrosophic sub modules of an R-module by Binu R, Ursala Paul

“…The fundamental goal of this study is to extend the conventional tensor product in contemporary algebra to the most generalized domain of neutrosophic set algebraic structures. We discuss the construction of tensor product in neutrosophic submodules as a quotient space in this study and derives the universal uniqueness property of tensor product in neutrosophic domain.…”
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On Eccentric Topological Indices Based on Edges of Zero Divisor Graphs by Ali N. A. Koam, Ali Ahmad, Azeem Haider

“…This article is devoted to the determination of edge-based eccentric topological indices of a zero divisor graph of some algebraic structures. In particular, we computed the first Zagreb eccentricity index, third Zagreb eccentricity index, geometric-arithmetic eccentricity index, atom-bond connectivity eccentricity index and a fourth type of eccentric harmonic index for zero divisor graphs associated with a class of finite commutative rings.…”
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Fuzzy finite switchboard automata with complete residuated lattices by Ebas, Nur Ain, Amir Hamzah, Nor Shamsidah, Jacob, Kavikumar, Rusiman, Mohd Saifullah

“…The theory of fuzzy finite switchboard automata (FFSA) is introduced by the use of general algebraic structures such as complete residuated lattices in order to enhance the process ability of FFSA. …”

Spontaneous symmetry breaking from anyon condensation by Marcel Bischoff, Corey Jones, Yuan-Ming Lu, David Penneys

“…For a SETO described by a G-crossed braided extension C ⊆ C G × $$ \mathcal{C}\subseteq {\mathcal{C}}_G^{\times } $$ , we show that physical considerations require that a connected étale algebra A ∈ C $$ \mathcal{C} $$ admit a G-equivariant algebra structure for symmetry to be preserved under condensation of A. …”
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Some analysis on conjugacy search problem for Diffie-Hellman protocol by Jusoo, S. H., Mohamad, Mohd Sham, Sulaiman, Sahimel Azwal, Faisal, .

“…The field in nonabelian group-based cryptosystem have gain attention of the researchers as it expected to offers higher security when confronted with quantum computational due to more complex algebraic structures. Hence, this paper intents to give an overview on Diffie-Hellman protocol considering the mathematically hard problem such as the conjugacy search problem in a group G. …”
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On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets by P. B. Remya, A. Francina Shalini

“…In Model theory, common algebraic structures found are Lattices and Boolean Algebras. …”
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On the multiplicative Legendre equation by Sertac Goktas

“…From this perspective, we define the Legendre equation in multiplicative analysis by several algebraic structures. Multiplicative Legendre polynomials of constituted problem are obtained by the power series solution method. …”
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Fuzzy Soft Sets and Fuzzy Soft Lattices by Yingchao Shao, Keyun Qin

“…In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include the algebraic structures of soft sets. Then the lattice structure of fuzzy soft lattices are discussed. …”
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On Cyclic LA-Hypergroups by Shehzadi Salma Kanwal, Naveed Yaqoob, Nabilah Abughazalah, Muhammad Gulistan

“…Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. …”
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On The Algebraic Properties of 2-Cyclic Refined Neutrosophic Matrices and The Diagonalization Problem by Rama Asad Nadweh, Rozina Ali, Maretta Sarkis

“…The n-cyclic refined neutrosophic algebraic structures are very diverse and rich materials. …”
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On Some NeutroHyperstructures by Madeleine Al-Tahan, Bijan Davvaz, Florentin Smarandache, Osman Anis

“…Inspired by the idea of Neutrosophy, Smarandache introduced NeutroAlgebraicStructures (or NeutroAlgebras) by allowing the partiality and indeterminacy to be included in the structures’ operations and/or axioms. …”
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Generalized Cartan Calculus in general dimension by Wang, Yinan

“…They are the underlying algebraic structures of d = 9, 7, 6 exceptional field theory, respectively. …”
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Neutrosophic Vague Binary G-subalgebra of G-algebra by P. B. Remya, A. Francina Shalini

“…Sets with one or more algebraic operations will form different new algebraic structures for giving assistance to these logics, which in turn acts to as, a support to artificial intelligence. …”
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Ore Extensions for the Sweedler’s Hopf Algebra <i>H</i>₄ by Shilin Yang, Yongfeng Zhang

“…Then we give the classification of all bialgebra (Hopf algebra) structures on the quotients of <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">H</mi><mn>4</mn></msub><mrow><mo>[</mo><mi>z</mi><mo>;</mo><mi>σ</mi><mo>]</mo></mrow></mrow></semantics></math></inline-formula> up to isomorphism.…”
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