Nano topology induced by Lattices by M. Lellis Thivagar, V. Sutha Devi

“…On the other hand, the lower and upper approximations have also been studied within the context various algebraic structures.…”
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Punctures for theories of class S Γ $$ {\mathcal{S}}_{\varGamma } $$ by Jonathan J. Heckman, Patrick Jefferson, Tom Rudelius, Cumrun Vafa

“…Focusing on specific algebraic structures, we show how the standard discussion of nilpotent orbits and its connection to representations of s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ generalizes in this broader context.…”
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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families by Hiroshi Matsuzoe, Tatsuaki Wada

“…In this paper, after summarizing such deformed algebraic structures, it is clarified how deformed algebras work on deformed exponential families. …”
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A new approach to the study of fixed points based on soft rough covering graphs by Imran Shahzad Khan, Nasir Shah, Abdullah Shoaib, Poom Kumam, Kanokwan Sitthithakerngkiet

“…Applications of the algebraic structures available in covering soft sets to soft graphs may reveal new facets of graph theory.…”
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Oriented Fuzzy Numbers vs. Fuzzy Numbers by Krzysztof Piasecki, Anna Łyczkowska-Hanćkowiak

“…For this purpose, we examine algebraic structures composed of numerical spaces equipped with addition, dot multiplication, and subtraction determined in a usual way. …”
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Weak separation, pure domains and cluster distance by Farber, Miriam, Galashin, Pavel

“…We apply our result to calculate the cluster distance and to give lower bounds on the mutation distance between cluster variables in the cluster algebra structure on the coordinate ring of the Grassmannian. …”
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Type-II polyadic constacyclic codes over finite fields by Jitman, Somphong, Ling, San, Tharnnukhroh, Jareena

“…Polyadic constacyclic codes over finite fields have been of interest due to their nice algebraic structures, good parameters, and wide applications. …”
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Determinants of some special matrices over commutative finite chain rings by Jitman Somphong

“…Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over their extension rings. …”
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On the Adequacy of Psychophysical Measurements by V.M. Romanchuk

“…The theoretical justification of equivalence is the isomorphism of algebraic structures. Such a solution to the Fechner-Stevens problem is constructive since it contains the possibility of experimental verification of the adequacy of the measurement results. …”
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Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere by Ernie G. Kalnins, Willard Miller Jr., Sarah Post

“…The generators for the quadratic algebra are expressed in terms of recurrence operators for the one-variable Wilson polynomials. The quadratic algebra structure breaks the degeneracy of the space of these polynomials. …”
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Dynamical l-bits and persistent oscillations in Stark many-body localization by Buca, B, Gunawardana, TM

“…We explain and analytically prove all these observations by rigorously perturbatively showing the existence of novel algebraic structures that are exponentially stable in time, which we call dynamical l-bits. …”

On Hamming Distance Distributions of Repeated-Root Cyclic Codes of Length 5p^s Over F_p ^m + uF_p ^m by Hai Q. Dinh, Bac T. Nguyen, Hiep L. Thi, Woraphon Yamaka

“…Let <inline-formula> <tex-math notation="LaTeX">$p\not =5$ </tex-math></inline-formula> be any odd prime. Using the algebraic structures of all cyclic codes of length <inline-formula> <tex-math notation="LaTeX">$5p^{s}$ </tex-math></inline-formula> over the finite commutative chain ring <inline-formula> <tex-math notation="LaTeX">${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ </tex-math></inline-formula>, in this paper, the exact values of Hamming distances of all cyclic codes of length <inline-formula> <tex-math notation="LaTeX">$5p^{s}$ </tex-math></inline-formula> over <inline-formula> <tex-math notation="LaTeX">$\cal R$ </tex-math></inline-formula> are established. …”
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Condensates and instanton – torus knot duality. Hidden Physics at UV scale by A. Gorsky, A. Milekhin

“…We consider the different limits of this correspondence focusing at their physical interpretation and compare the algebraic structures at the both sides of the correspondence. …”
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Perfectly Secure Shannon Cipher Construction Based on the Matrix Power Function by Eligijus Sakalauskas, Lina Dindienė, Aušrys Kilčiauskas, Kȩstutis Lukšys

“…This property was obtained by the special selection of algebraic structures to define the MPF. In an earlier paper we demonstrated, that certain MPF can be treated as a conjectured one-way function. …”
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An efficient approach to study multi-polar fuzzy ideals of semirings by Shahida Bashir, Talal Alharbi, Rabia Mazhar, Issra Khalid, Muneeb ul Hassan Afzal, Nauman Riaz Chaudhry

“…This paper introduces innovative extensions to algebraic structures. We present the definitions and some important results of m-polar fuzzy subsemirings (m-PFSSs), m-polar fuzzy ideals (m-PFIs), m-polar fuzzy generalized bi-ideals (m-PFGBIs), m-polar fuzzy bi-ideals (m-PFBIs) and m-polar fuzzy quasi-ideals (m-PFQIs) in semirings. …”
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Diagnosability of composite automata based on semi-tensor product by Zengqiang Chen, Yingrui Zhou, Zhipeng Zhang, Yongyi Yan

“…Specially, we establish algebraic structures of composite automata with the help of semi-tensor product and propose a definition of diagnosability based on algebraic state space. …”
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The Structure Theorems of Pseudo-BCI Algebras in Which Every Element is Quasi-Maximal by Xiaoying Wu, Xiaohong Zhang

“…For mathematical fuzzy logic systems, the study of corresponding algebraic structures plays an important role. Pseudo-BCI algebra is a class of non-classical logic algebras, which is closely related to various non-commutative fuzzy logic systems. …”
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Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type K by Bakalov, Bojko, D’Andrea, Alessandro, Kac, Victor

“…One of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal algebra. …”
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Fixpointed Idempotent Uninorm (Based) Logics by Eunsuk Yang

“…First, several such logics are introduced as axiomatic extensions of uninorm mingle logic (<b>UML</b>). The algebraic structures corresponding to the systems are then defined, and the results of the associated algebraic completeness are provided. …”
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Epistemic Information in Stratified M-Spaces by Mark Burgin

“…Here we employ algebraic structures for exploration of information and knowledge dynamics. …”
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