Results 61 to 70 of about 2,252 (212)
Free Group Algebras in Certain Division Rings
, 1996 LetDbe a division ring with centrek. We show thatDcontains thek-group algebra of the free group on two generators whenDis the ring of fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-
Shirvani, M. +2 more
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Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix
Advanced Materials, EarlyView.3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández +15 more
wiley +1 more source
A note on Lie ideals of prime rings
, 2019 In this paper, we characterize Lie ideals, which are either finitely generated [Formula: see text]-modules or maximal, in (centrally closed) prime rings.
Muzibur Rahman Mozumder, Tsiu-Kwen Lee
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Rings with common division, common meadows and their conditional equational theories [PDF]
We examine the consequences of having a total division operation xy on commutative rings. We consider two forms of binary division, one derived from a unary inverse, the other defined directly as a general operation; each are made total by setting 1/0 ...
John Tucker
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Advanced Materials, EarlyView.A giant insulator to metal transition and emergent superparamagnetism are revealed by nanoparticle exsolution in non‐stoichiometric titanate perovskite thin films. By combining transport, synchrotron spectroscopy, and first‐principles calculations, this work reveals how defect reconfiguration and lattice reconstruction fundamentally reshape electronic ...
Sungil Kim +11 more
wiley +1 more source
Advanced Materials, EarlyView.A transparent, deformable stevia–PVA hydrogel triboelectric nanogenerator delivers significantly enhanced mechanical strength and electrical output through biomimetic hydrogen‐bonded networks. Coupled with machine learning–assisted signal recognition, the self‐powered hydrogel enables accurate human‐motion sensing for intelligent wearable and IoT ...
Thien Trung Luu +5 more
wiley +1 more source
L\"uroth's and Igusa's theorems over Division Rings
, 2023 Let $H$ be a division ring of finite dimension over its center, let $H[T]$ be the ring of polynomials in a central variable over $H$, and let $H(T)$ be its quotient skew field.
Paran, Elad, Legrand, François
core
Advanced Materials, EarlyView.This review summarizes the principles and challenges of nonaqueous lithium‐oxygen batteries and recent advances in cathode catalysts, including carbon‐based materials, metals, oxides, sulfides, nitrides, carbides, and redox mediators. It highlights emerging design strategies and artificial intelligence‐driven approaches, emphasizing data‐assisted ...
Yuqing Yao +8 more
wiley +1 more source
Quotients of skew polynomial rings: new constructions of division algebras and MRD codes [PDF]
We achieve new results on skew polynomial rings and their quotients, including the first explicit example of a skew polynomial ring where the ratio of the degree of a skew polynomial to the degree of its bound is not extremal. These methods lead to the
Sheekey, John +2 more
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Advances in Magnesium‐Based Thermoelectrics: A Critical Review
Advanced Materials, EarlyView.Magnesium‐based thermoelectric materials have emerged as promising candidates for low‐to‐mid‐temperature energy conversion due to their abundance, low cost, and competitive performance. This review summarizes recent advances in Mg3X2, MgAgSb, and Mg2X systems, covering transport mechanisms, fabrication strategies, stability challenges, and device ...
Li‐Min Zhang +5 more
wiley +1 more source