Generalised U-dual solutions via ISO(7) gauged supergravity by Chris D. A. Blair, Sofia Zhidkova

“…The new solutions are characterised by an underlying 6-algebra structure. Our construction provides an 11-dimensional uplift of four-dimensional ISO(7) gauged supergravity, using E 7 exceptional geometry techniques. …”
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Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures by S. Rajareega, J. Vimala, D. Preethi

“…This paper focuses on developing the algebraic structures pertaining to lattice ordered groups and lattice ordered subgroups for complex intuitionistic fuzzy soft set theory. …”
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Characterizations of Right Weakly Regular Semigroups in Terms of Generalized Cubic Soft Sets by Muhammad Gulistan, Feng Feng, Madad Khan, Aslıhan Sezgin

“…As the ideal theory play a fundamental role in algebraic structures through this we can make a quotient structures. …”
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Neutrosophic Fuzzy Strong Bi-ideals of Near-Subtraction Semigroups by J. Siva Ranjini, V. Mahalakshmi

“…We examine some of its fundamentals and algebraic structures. Our aim of this manuscript are given as follows: (i)To explore the new ideas in Neutrosophic fuzzy Near-subtraction semigroups of said bi-ideals and strong bi-ideals. …”
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Algebras of Binary Isolating Formulas for Strong Product Theories by D.Yu. Emelyanov

“…In addition, we shows that these algebras can be absorbed by simplex algebras, which simplify the study of that theory and connect it with other algebraic structures. This concept is a useful tool for understanding the relationships between binary formulas of a theory.…”
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Similarity of L-fuzzy Relations Based on L-topologies Induced by L-fuzzy Rough Approximation Operators by Prasenjit Mandal, A.S. Ranadive

“…Second, the concept of similarity of L-fuzzy relations is introduced and variations of an L-fuzzy relation are investigated. Third, algebraic structures on similarity of L-fuzzy relations are obtained. …”
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Antipodal symmetry of two-loop MHV amplitudes by Yu-Ting Liu

“…The symmetry acts as a change of basis on the symbol letters, followed by the antipode operation associated with the Hopf algebra structure of multiple polylogarithms. At the symbol level, I provide the symmetry map explicitly for amplitudes with up to eight external particles, and also provide evidence at all multiplicities. …”
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Topological Indices of Graphs from Vector Spaces by Krishnamoorthy Mageshwaran, Nazeek Alessa, Singaravelu Gopinath, Karuppusamy Loganathan

“…Topological indices are numbers that are applied to a graph and can be used to describe specific graph properties through algebraic structures. Algebraic graph theory is a helpful tool in a range of chemistry domains. …”
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An Efficient Algorithm to Compute the Linear Complexity of Binary Sequences by Amparo Fúster-Sabater, Verónica Requena, Sara D. Cardell

“…Binary sequences are algebraic structures currently used as security elements in Internet of Things devices, sensor networks, e-commerce, and cryptography. …”
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Moments of quantum Lévy areas using sticky shuffle Hopf algebras by Hudson, R, Schauz, U, Wu, Y

“…We use the corresponding Hopf algebra structure to evaluate the moments of the quantum Lévy areas and study how they deform to their classical values, which are well known to be given essentially by the Euler numbers, in the infinite variance limit.…”

Equivariant Seidel maps and a flat connection on equivariant symplectic cohomology by Liebenschutz-Jones, T

“…As an application, we compute these algebraic structures for a few specific examples and provide a method to compute them for toric manifolds using the moment polytope.…”

The Homomorphism Theorems of <i>M</i>-Hazy Rings and Their Induced Fuzzifying Convexities by Faisal Mehmood, Fu-Gui Shi, Khizar Hayat, Xiao-Peng Yang

“…In traditional ring theory, homomorphisms play a vital role in studying the relation between two algebraic structures. Homomorphism is essential for group theory and ring theory, just as continuous functions are important for topology and rigid movements in geometry. …”
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Obtaining the Parametric Equation of the Curve of the Sun’s Apparent Movement by Using Quaternions by Mustafa Helvacı, Yusuf Yaylı, Nejat Ekmekçi, Deniz Güçler

“…To achieve this, the daily and yearly apparent movement of the Sun, the algebraical structure of quaternions and how quaternions work as rotation operators has been examined. …”
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On (m, k) -type elements in the ring of integers modulo n by Phoschanun Ratanaburee, Montakarn Petapirak, Sompong Chuysurichay

“…In this paper, we study the algebraic structures of Xn(m, k), X * n(m, k) and Sn(m, k) and characterize all values of n, m, and k for which Xn(m, k) and Sn(m, k) are cyclic semigroups and X * n(m, k) is a cyclic group.…”
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Automatic Structures: Richness and Limitations by Bakhadyr Khoussainov, Andre Nies, Sasha Rubin, Frank Stephan

“…We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a regular set of words, and the interpretation of the relations by synchronised automata. …”
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Deciding Kleene Algebras in Coq by Thomas Braibant, Damien Pous

“…We build on the recent addition of firstorder typeclasses in Coq in order to work efficiently with the involved algebraic structures.…”
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Shift Filter of Quasi-ordered Residuated Systems by Daniel A. Romano

“…In 2020, the author introduced and analyzed the concepts of filters in this type of algebraic structures. In addition to the previous, the author continued to investigate some of the types of filters in quasi-ordered residuated systems such as, for example, implicative and comparative filters. …”
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Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space by Memet Şahin, Abdullah Kargın, Mehmet Ali Çoban

“…This study is also part of the &ldquo;Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets&rdquo; which is a special issue.…”
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POINTED HOPF ACTIONS ON CENTRAL SIMPLE DIVISION ALGEBRAS by ETINGOF, P., NEGRON, C.

“…(By a Hopf action we mean a Hopf module algebra structure.) In all examples considered, we show that the given Hopf algebra does admit a faithful action on a central simple division algebra, and we construct such a division algebra. …”
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ADVANCED LINEAR ALGEBRA / by Loehr, Nicholas A., author. 650211, , author

“…The book consists of twenty chapters, grouped into six main subject areas (algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra). …”