Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals by Ganeshsree Selvachandran, Abdul Razak Salleh

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Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras by Quanyuan Chen, Xiaochun Fang

“…Moreover, we construct a semisimple abelian operator algebra having a strictly cyclic functional but having no strictly cyclic vectors. …”
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Compact Hermitian operators on projective tensor products of Banach algebras by T. K. Dutta, H. K. Nath, H. K. Sarmah

“…Let U and V be, respectively, an infinite- and a finite-dimensional complex Banach algebras, and let U⊗pV be their projective tensor product. …”
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Adjoint and Trivial Cohomologies of Nilpotent Complex Lie Algebras of Dimension by L. Magnin

“…We present tables for adjoint and trivial cohomologies of complex nilpotent Lie algebras of dimension . Attention is paid to quadratic Lie algebras, Poincaré duality, and harmonic cocycles.…”
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Vertex algebra constructions for (analytic) geometric Langlands in genus zero by Davide Gaiotto

“…Abstract We employ two-dimensional chiral algebra techniques to produce solutions of certain differential and integral equations which occur in the context of the Analytic Geometric Langlands Program. …”
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New Applications of a Kind of Infinitesimal-Operator Lie Algebra by Honwah Tam, Yufeng Zhang, Xiangzhi Zhang

“…Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. …”
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The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters by Yong Lin Liu

“…The most simplified axiom systems of pseudo-weak-R0 algebras and pseudo-R0 algebras are obtained, and the mutually independence of axioms is proved. …”
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Zip and weak zip algebras in a congruence-modular variety by George Georgescu

Subjects: “…semidegenerate congruence-modular variety, neo-commutative algebra…”
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New Concepts on Module Arens Regularity for Module Banach Algebras by Omid Pourbahri Rahpeyma, Davood Ebrahimi Bagha, Ghasem Soleimani Rad

“…Then a new module structure on the semigroup algebra l1S as l1ES-module with nontrivial right and left module actions is constructed. …”
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Algebraic and topological indices of molecular pathway networks in human cancers by Peter Hinow, Edward A. Rietman, Sara Ibrahim Omar, Jack A. Tuszyński

“…Protein-protein interaction networks associated with diseases have gained prominence as an area of research.We investigate algebraic and topological indices for protein-protein interaction networks of 11 human cancers derived from the Kyoto Encyclopedia of Genes and Genomes (KEGG) database. …”
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Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras by Yuanyuan Chen, Liangyun Zhang

“…It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. …”
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An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems by Jian Ma, Baodong Zheng

“…The eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear operator methods. …”
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An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular by Yanan Liu, Muhammad Ahsan Binyamin, Adnan Aslam, Minahal Arshad, Chengmei Fan, Hassan Mahmood, Jia-Bao Liu

“…The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular.…”
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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors by David Marcos-Andrade, Francisco Beltran-Carbajal, Alexis Castelan-Perez, Ivan Rivas-Cambero, Jesús C. Hernández

Subjects: “…algebraic identification…”
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Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras by Firdous A. Shah, Aajaz A. Teali, Mawardi Bahri

“…In this article, we introduce a novel integral transform coined as the Clifford-valued shearlet transform on Cl(p,q) algebras which is designed to represent Clifford-valued signals at different scales, locations, and orientations. …”
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On n-fold fuzzy positive implicative ideals of BCK-algebras by Young Bae Jun, Kyung Ho Kim

“…We establish the extension property for n-fold fuzzy positive implicative ideals, and state a characterization of PIn-Noetherian BCK-algebras. Finally we study the normalization of n-fold fuzzy positive implicative ideals.…”
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Minimal Bratteli diagrams and the dimension groups of AF C*-algebras by Ryan J. Zerr

“…A method is described which identifies a wide variety of AF algebra dimension groups with groups of continuous functions. …”
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The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras by Yue Zhu, Keli Zheng

“…Mock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts. …”
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Strong GE-Filters and GE-Ideals of Bordered GE-Algebras by Mehmet Ali Öztürk, Jeong-Gon Lee, Ravikumar Bandaru, Young Bae Jun

“…Conditions under which any subset of a bordered GE-algebra can be a GE-ideal are provided, and GE-ideal that is generated from a subset in a bordered GE-algebra is discussed. …”
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Nearly Quadratic n-Derivations on Non-Archimedean Banach Algebras by Madjid Eshaghi Gordji, Badrkhan Alizadeh, Young Whan Lee, Gwang Hui Kim

“…Let n>1 be an integer, let A be an algebra, and X be an A-module. A quadratic function D:A→X is called a quadratic n-derivation if D(∏i=1nai)=D(a1)a22⋯an2+a12D(a2)a32⋯an2+⋯+a12a22⋯an−12D(an) for all a1,...…”
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