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Ordered Rings and Fields [PDF]
Formalized Mathematics, 2017 Summary We introduce ordered rings and fields following Artin-Schreier’s approach using positive cones. We show that such orderings coincide with total order relations and give examples of ordered (and non ordered) rings and fields. In particular we show that polynomial rings can be ordered in (at least) two different ways [8, 5, 4, 9].
Adam Grabowski +2 more
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Evidence of sp-d Exchange Interactions in CdSe Nanocrystals Doped with Mn, Fe and Co: Atomistic Tight-Binding Simulation [PDF]
NanomaterialsExploiting the atomistic tight-binding theory with the sp-d exchange term, the electronic and magnetic characteristics of CdSe nanoparticles embedded with Mn, Fe and Co are determined as a function of external magnetic fields to realize the sp-d exchange
Pruet Kalasuwan, Worasak Sukkabot
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Some Results on Single Valued Neutrosophic Bi-ideals in Ordered Semigroups [PDF]
Neutrosophic Sets and Systems, 2021 The importance of the theory of neutrosophy is due to its connections with several fields of sciences, engineering, and technology. So, the aim of this paper is to relate neutrosophy with some algebraic structures mainly the ordered semigroups.
H. Al-Akara, M. Al-Tahan, J. Vimala
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SURREAL ORDERED EXPONENTIAL FIELDS [PDF]
The Journal of Symbolic Logic, 2021 AbstractIn 2001, the algebraico-tree-theoretic simplicity hierarchical structure of J. H. Conway’s ordered field${\mathbf {No}}$of surreal numbers was brought to the fore by the first author and employed to provide necessary and sufficient conditions for an ordered field (ordered$K$-vector space) to be isomorphic to an initial subfield ($K$-subspace ...
Ehrlich, Philip, Kaplan, Elliot
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Uniformly continuous 1-1 functions on ordered fields not mapping interior to interior [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 In an earlier work we showed that for ordered fields F not isomorphic to the reals R, there are continuous 1-1 unctions on [0, 1]F which map some interior point to a boundary point of the image (and so are not open).
Mojtaba Moniri, Jafar S. Eivazloo
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European Physical Journal C: Particles and Fields, 2021 In a soliton sector of a quantum field theory, it is often convenient to expand the quantum fields in terms of normal modes. Normal mode creation and annihilation operators can be normal ordered, and their normal ordered products have vanishing ...
Jarah Evslin
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Magnetic hydrogels with ordered structure for biomedical applications
Frontiers in Chemistry, 2022 Magnetic hydrogels composed of hydrogel matrices and magnetic nanomaterials have attracted widespread interests. Thereinto, magnetic hydrogels with ordered structure possessing enhanced functionalities and unique architectures, show tremendous advantages
Le Xue, Jianfei Sun
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The Astrophysical Journal Letters, 2022 Mergers are thought to be a fundamental channel for galaxy growth, perturbing the gas dynamics and the magnetic fields ( B -fields) in the interstellar medium (ISM).
Enrique Lopez-Rodriguez +10 more
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The fabulous destiny of Richard Dedekind
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 By using the preliminary results given in a previous divulgative note, we present here a concise and self--contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field ...
Giuseppe Devillanova +1 more
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The Astrophysical Journal, 2023 We present the analysis of the magnetic field ( B -field) structure of galaxies measured with far-infrared (FIR) and radio (3 and 6 cm) polarimetric observations.
Alejandro S. Borlaff +15 more
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