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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On the Numerical Solution of Differential-Algebraic Equations with Hessenberg Index-3 by Melike Karta, Ercan Çelik

“…Numerical solution of differential-algebraic equations with Hessenberg index-3 is considered by variational iteration method. …”
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On Refined Neutrosophic Matrices and Their Application in Refined Neutrosophic Algebraic Equations by Mohammad Abobala

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Noncoherence of a Causal Wiener Algebra Used in Control Theory by Amol Sasane

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On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm by M. Akram, Jianming Zhan

“…We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. …”
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Solving Quantum Dynamics with a Lie-Algebra Decoupling Method by Sofia Qvarfort, Igor Pikovski

“…As background, we include an overview of Lie groups and Lie algebras aimed at a general-physicist audience. We then prove the Lie-algebra decoupling theorem and apply it to both closed and open dynamics. …”
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Algebraic Cryptanalysis Scheme of AES-256 Using Gröbner Basis by Kaixin Zhao, Jie Cui, Zhiqiang Xie

“…After giving a detailed construction process of the zero-dimensional Gröbner basis, the necessary theoretical proof is presented. Based on this, an algebraic cryptanalysis scheme of AES-256 using Gröbner basis is proposed. …”
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Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets by Yonghong Shen, Wei Chen

“…Finally, a general framework of the algebraic operation between IFSs is given by using the multivariate extension principle.…”
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Finite Cartan Graphs Attached to Nichols Algebras of Diagonal Type by Chen Qian, Jing Wang

“…Nichols algebras are fundamental objects in the construction of quantized enveloping algebras and in the classification of pointed Hopf algebras by the lifting method of Andruskiewitsch and Schneider. …”
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A convex operator function by Derming Wang

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Álgebra, Geometria e Aritmética de Mãos Dadas no Ensino Fundamental by MARIA DA CONCEIÇÃO VIEIRA GOMES

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C*-Algebras Generated by a System of Unilateral Weighted Shifts and Their Application by Beyaz Basak Koca, Nazim Sadik

“…We study the structure C∗-algebras generated by a system of unilateral weighted shifts. …”
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Some Algebraic Properties of a Class of Integral Graphs Determined by Their Spectrum by Jia-Bao Liu, S. Morteza Mirafzal, Ali Zafari

“…In this paper, we investigate some algebraic properties of the Cayley graph Γ=Cayℤn,S, where n=pm (p is a prime integer and m∈ℕ) and S=a∈ℤn|a,n=1. …”
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Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay by Xiaojian Zhou, Xin Chen, Yongzhong Song

“…We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. Regarding time delay as a bifurcation parameter, we show that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. …”
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Higher orbital integrals, Shalika germs, and the Hochschild homology of Hecke algebras by Victor Nistor

“…We give a detailed calculation of the Hochschild and cyclic homology of the algebra 𝒞c∞(G) of locally constant, compactly supported functions on a reductive p-adic group G. …”
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Perspectivas em Aritmética e Álgebra para o século XXI by Ana Lucia Vaz da Silva

“… Por que o ensino da álgebra funciona somente para alguns alunos? “Por que muitos dos que são capazes de lidar com a álgebra formal, nunca a utilizam para resolver problemas, a menos que explicitamente solicitados?” …”
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Some remarks on the algebraic structure of the finite Coxeter group F4 by Muhammad A. Albar, Norah Al-Saleh

“…We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.…”
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Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets by Eun Hwan Roh, Young Bae Jun

“…The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. …”
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