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Symmetry transitions beyond the nanoscale in pressurized silica glass. [PDF]
Zhang Z, Xie Z, Kob W.
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Machine-Learning Interatomic Potentials Achieving CCSD(T) Accuracy for Systems with Extended Covalent Networks and van der Waals Interactions. [PDF]
Ikeda Y +6 more
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Baobab isotope records and rainfall forcing in Southwest Madagascar over the last 700 years. [PDF]
Razanatsoa E +4 more
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Enhancing Permanent Magnet Sliding Bearings Through Multi-Layer Yoke for Minimized Magnetic Leakage. [PDF]
Liu Y, Zhao H, Li J, Wu L, Xia Y.
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Inverted azolophanes: alternant <i>o</i>-heteroarene/<i>p</i>-arene macrocycles. [PDF]
Lin YH +4 more
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Discharge and electron correlation of radical molecules in a supramolecular assembly on superconducting Pb(111). [PDF]
Drechsel C +9 more
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Local Rings of Rings of Quotients
Algebras and Representation Theory, 2008Let \(a\) be an element of a ring \(R\). The ring \(R_a\) that is obtained by defining on the Abelian group \((aRa,+)\) the multiplication \(axa\cdot aya=axaya\) is called the local ring of \(R\) at \(a\). This concept was introduced by K.~Meyberg in 1972 in the nonassociative context of Jordan systems.
Gómez Lozano, M. A., Siles Molina, M.
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Quaternion rings over local rings
Journal of Algebra and Its Applications, 2021In 1843, Hamilton (1805–1865) discovered the 4-dimensional division algebra [Formula: see text] over the field [Formula: see text] of real numbers. Hamilton’s big discovery is the following beautiful multiplications for the basis [Formula: see text] :[Formula: see text] [Formula: see text] contains the field [Formula: see text] of complex numbers ...
Kikumasa, Isao, Oshiro, Kiyoichi
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PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS
Journal of Algebra and Its Applications, 2013A ring R is called pseudopolar if for every a ∈ R there exists p2 = p ∈ R such that p ∈ comm 2(a), a + p ∈ U(R) and akp ∈ J(R) for some positive integer k. Pseudopolar rings are closely related to strongly π-regular rings, uniquely strongly clean rings, semiregular rings and strongly π-rad clean rings.
Cui, Jian, Chen, Jianlong
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