Results 71 to 80 of about 1,336,081 (334)
Education Sciences, 2022 Prior research has shown how incorporating group theory into upper secondary school or undergraduate mathematics education may positively impact learners’ conceptual understanding of mathematics in general and algebraic concepts in particular.
Joaquin Marc Veith +2 more
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arXiv, 2020 BiHom-Akivis algebras are introduced. The BiHom-commutator-BiHom-associator algebra of a regular BiHom-algebra is a BiHom-Akivis algebra. It is shown that BiHom-Akivis algebras can be obtained from Akivis algebras by twisting along two algebra endomorphisms. It is pointed out that a BiHom-Akivis algebra associated to a regular BiHom-alternative algebra
arxiv
Twisted algebras of geometric algebras [PDF]
arXiv, 2022 A twisting system is one of the major tools to study graded algebras, however, it is often difficult to construct a (non-algebraic) twisting system if a graded algebra is given by generators and relations. In this paper, we show that a twisted algebra of a geometric algebra is determined by a certain automorphism of its point variety. As an application,
arxiv
Orbital Topology of Chiral Crystals for Orbitronics
Advanced Materials, EarlyView.Chirality is ubiquitous in nature and constitutional for life. In chiral materials the intrinsic handedness, defined by their crystal structure, becomes a main driver for a novel electronic topology that is based on the orbital angular momentum rather than the electron spin.
Kenta Hagiwara +16 more
wiley +1 more source
Algebras of quotients of path algebras
Journal of Algebra, 2008 Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex connects to a line point (equivalently, the Leavitt path algebra has essential socle).
openaire +3 more sources
ALGEBRAIC CUNTZ–KRIEGER ALGEBRAS [PDF]
Journal of the Australian Mathematical Society, 2019 We show that a directed graph $E$ is a finite graph with no sinks if and only if, for each commutative unital ring $R$, the Leavitt path algebra $L_{R}(E)$ is isomorphic to an algebraic Cuntz–Krieger algebra if and only if the $C^{\ast }$-algebra $C^{\ast }(E)$ is unital and $\text{rank}(K_{0}(C^{\ast }(E)))=\text{rank}(K_{1}(C^{\ast }(E)))$.
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EPJ Web of Conferences, 2014 In 1986 Fumy proposed a simplified approach to calculate inverse discrete Fourier transform (IDFT) using normal bases and its dual in encoding cyclic codes in the spectral domain.
Irwansyah +4 more
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Difficulties in Solving Non-Routine Problems: Preliminary Analysis and Results
ASM Science Journal, 2021 Students have been taught to solve problems since primary school. However, they still have been having difficulties in solving mathematics problems, especially non-routine problems.
Muslimah Shawan +2 more
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Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
Advanced Materials Interfaces, EarlyView.This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
wiley +1 more source
ComputersMaintaining a fast, low-latency network must be balanced in the demanding world of High-Performance Computing (HPC). Any compromise in network performance can severely affect distributed HPC applications, leading to bottlenecks that undermine the entire ...
Vedran Dakić +3 more
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