Results 51 to 60 of about 2,443 (266)
Let R be a ring, and let N and C denote the set of nilpotents and the center of R, respectively. R is called generalized periodic if for every x∈R\(N⋃C), there exist distinct positive integers m, n of opposite parity such that xn−xm∈N⋂C.
Howard E. Bell, Adil Yaqub
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Minimal irreducible solvable subgroups of the group GL(2, Rp)
All minimal irreducible solvable subgroups of the group GL(2, Rp) (Rp is the ring of integers of the finite ixtension Fp of the fileld rational p-adic numbers Qp for p > 2) are described up to conjugation.
О. А. Кирилюк
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Graphene‐Based Wearable Textile Triboelectric Nanogenerators and Biomechanical Sensors
This study presents a wearable textile‐based triboelectric nanogenerator (T‐TENG) using sprayed graphene enhanced with a PVA adhesion layer. The graphene‐based electrode demonstrates high electrical conductivity and robustness to multiple bends. The fabricated T‐TENG provides stable and efficient output, with strong responsiveness to biomotion.
Hongyang Dang +4 more
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Electromagnetic Wave Localization in One‐Dimensional Hyperuniform Disordered Structures
Stealthy hyperuniform disorder in one dimension exhibits strikingly different structural and photonic behavior compared with higher dimensions. By analysing spatial correlations and electromagnetic eigenstates, we show that short‐range pairing strongly shapes localization and transport regimes.
Alexander Meek, Marian Florescu
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Relative integral basis for algebraic number fields
At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(m3).
Mohmood Haghighi
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Codes Over Rings of Algebraic Integers
1 modulo 6 if d = -3.These alphabets are isomorphic to the field GF(p), and both will be denoted by A. Associated to any two elements of G F (p) , there is a distance, which is called Mannheim distance between the corresponding elements in A. Four classes of codes are proposed.One class is designed to correct one Mannbeim error, another to correct ...
Osvaldo Milaré Favareto +3 more
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Linear and Third‐Order Nonlinear Optical Response of Hafnium Disulfide
This study characterizes the linear and nonlinear optical response of HfS2 thin films. Ellipsometry identifies a high in‐plane refractive index (n>${\rm n}>$3) and wide transparency window. Third harmonic generation (THG) reveals a massive third‐order nonlinear susceptibility exceeding silicon and gallium phosphide.
Benjamin Laudert +2 more
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On commutativity of one-sided s-unital rings
The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling
A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang +5 more
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Another Prüfer Ring of Integer-Valued Polynomials
Let \(D\) be an integral domain with quotient field \(K\) and let \(\text{ Int}(D) = \{f \in K [x] \mid f(D) \subseteq D\}\). If \(D\) is Dedekind and all its residue fields are finite then \(\text{ Int}(D)\) is Prüfer while if \(\text{ Int}(D)\) is Prüfer then \(D\) is almost Dedekind (i.e.
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