A focal boundary value problem for difference equations by Cathryn Denny, Darrel Hankerson

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Sur certains invariants des algèbres artiniennes commutatives by Aleksandrov, Alexandre

“…We study properties of algebraic, topological and analytic invariants of commutative artinian algebras and relationships between them. …”
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Some Aspects of Supersymmetric Field Theories with Minimal Length and Maximal Momentum by Kourosh Nozari, F. Moafi, F. Rezaee Balef

“…We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.…”
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Rational Ruijsenaars-Schneider model with cosmological constant by Anton Galajinsky

“…In this work, a possibility to construct a one-parameter deformation of the Ruijsenaars-Schneider models by uplifting the Poincaré algebra in 1 + 1 dimensions to the anti de Sitter algebra is studied. …”
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pyScrew4Mobility: Modul Python untuk Penentuan Mobilitas Manipulator Paralel Berbasis Teori Screw by Adriyan Adriyan

“…<p>This paper addresses the mobility determination of parallel manipulators (PMs) using screw theory with algebra methods on an open-source computer algebra package: Sympy (symbolic python). …”
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Discretized representations of harmonic variables by bilateral Jacobi operators by Andreas Ruffing

“…Starting from a discrete Heisenberg algebra we solve several representation problems for a discretized quantum oscillator in a weighted sequence space. …”
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Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph by Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil, Samih Lazaiz

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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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