A simplification functor for coalgebras by Maurice Kianpi, Celestin Nkuimi Jugnia

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Connections on trivial vector bundles over projective schemes by Biswas, Indranil, Hô Hai, Phùng, dos Santos, Joao Pedro

“…In this paper, we employ a completely algebraic variation of this idea by restricting attention to connections on trivial vector bundles and replacing the fundamental group by a certain Lie algebra constructed from the regular forms. …”
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h-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over R or C by Kwang Hyun Kim, Xin Zhang

“…Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed.…”
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Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation by Andrew Gratien Johnpillai, Chaudry Masood Khalique

“…The Lie point symmetry generators of the underlying equation are derived. We utilize the Lie algebra admitted by the equation to obtain the optimal system of one-dimensional subalgebras of the Lie algebra of the equation. …”
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Invariants de Witt des involutions de bas degré en caractéristique 2 by Tignol, Jean-Pierre

“…These forms hold structural information on the algebra with involution.…”
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Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays by Yongkun Li, Jianglian Xiang

“…In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays. Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity of the multiplication of Clifford numbers, we first decompose the considered Clifford-valued neural network into 2m2n real-valued systems. …”
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On Best Proximity Point Theorems in Locally Convex Spaces Endowed with a Graph by B. Saadaoui, S. Lazaiz, M. Aamri

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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries by Fatemeh Ahangari

“…It is represented that the Lie algebra of local symmetries interrelated to the system of geodesic equations is non-solvable and not semi-simple and the algebraic organization of the derived quotient Lie algebra is accurately evaluated. …”
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On the space of 2d integrable models by Lukas W. Lindwasser

“…Abstract We study infinite dimensional Lie algebras, whose infinite dimensional mutually commuting subalgebras correspond with the symmetry algebra of 2d integrable models. …”
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C⁎-Basic Construction from the Conditional Expectation on the Drinfeld Double by Qiaoling Xin, Lining Jiang, Tianqing Cao

“…Then the sets D(G) and D(G;H) can be made C⁎-algebras naturally. Considering the C⁎-basic construction C⁎〈D(G),e〉 from the conditional expectation E of D(G) onto D(G;H), one can construct a crossed product C⁎-algebra C(G/H×G)⋊CG, such that the C⁎-basic construction C⁎〈D(G),e〉 is C⁎-algebra isomorphic to C(G/H×G)⋊CG.…”
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Entanglement in BF theory. Part I. Essential topological entanglement by Jackson R. Fliss, Stathis Vitouladitis

“…We do so directly in the low-energy topological quantum field theory by considering the algebra of topological surface operators. We define two appropriate notions of subregion operator algebras which are related by a form of electric-magnetic duality. …”
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Extending Ginkgo to Manage Reconfigurable Hardware-Based Kernels by Alejandro Morales-Peña, Esteban Meneses

“… Although heterogeneous systems based on hardware accelerators are a trending topic in the HPC community, exploring the trade-offs of reconfigurable hardware-based ones in linear algebra libraries for high-performance systems, has not been deeply studied. …”
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The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

“…Following an outline of some elementary concepts from vector algebra and phasor analysis, the proofs by induction of a couple of salient results in multiple-slit interferometry are presented, viz., the fringe intensity distribution formula and the upper bound of the total fringe count. …”
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Spectral integration and spectral theory for non-Archimedean Banach spaces by S. Ludkovsky, B. Diarra

“…Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. …”
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Multipliers of Modules of Continuous Vector-Valued Functions by Liaqat Ali Khan, Saud M. Alsulami

“…In 1961, Wang showed that if A is the commutative C*-algebra C0(X) with X a locally compact Hausdorff space, then M(C0(X))≅Cb(X). …”
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Generalized Projective product of semi-rings by mohd Shahoodh

“… The concept of Differential algebra has been played an influential role in various directions of abstract algebra. …”
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Noncommutative Effects on the Fluid Dynamics and Modifications of the Friedmann Equation by Kai Ma

“…Based on this approach, the noncommutative Poisson bracket is introduced, and the noncommutative algebra among Eulerian variables and the noncommutative corrections on the equations of motion are obtained. …”
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Relações Entre Pensamento e Linguagem: Explorações Teóricas no Contexto da Educação Matemática by JORGE TARCÍSIO DA ROCHA FALCÃO

“…Adicionalmente, extratos de protocolos de  pesquisa  envolvendo  atividade  representacional em  álgebra  são  mostrados, tentando-se evidenciar, de um  lado,  a importância dos suportes  de representação para a construção de significado neste campo conceitual, e de outro, a impossibilidade de atribuir a tais suportes, isoladamente, a explicação da aprendizagem de conceitos como os de variável e parâmetro  em álgebra. …”
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Geometrical Applications of Split Octonions by Merab Gogberashvili, Otari Sakhelashvili

“…It is shown how the G2 algebra’s chirality yields an intrinsic left-right asymmetry of a certain 3-vector (spin), as well as a parity violating effect on light emitted by a moving quantum system. …”
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