Results 11 to 20 of about 68,641 (256)
LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD
The paper deals with some aspects of general local fields and tries to elucidate some obscure facts. Indeed, several questions remain open, in this domain of research, and literature is getting scarce.
Akram Lbekkouri
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Literal and metaphorical usages of Babanki EAT and DRINK verbs
In Babanki, a Grassfields Bantu language of North-West Cameroon, two of the numerous consumption verbs, namely the generic verbs ʒɨ́ ‘eat’ and ɲʉ́ ‘drink’, constitute a major source of metaphorical extensions outside the domain of ingestion. Setting out
Pius W. Akumbu, Roland Kießling
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On the Content Bound for Real Quadratic Field Extensions
Let K be a finite extension of Q and let S = {ν} denote the collection of K normalized absolute values on K. Let V+K denote the additive group of adeles over K and let K ≥0 c : V + → R denote the content map defined as c({aν }) = Q K ν ∈S ν (aν ) for
Robert G. Underwood
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Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields
Quaternions are extensions of complex numbers that are four-dimensional objects. Quaternion consists of one real number and three complex numbers, commonly denoted by the standard vectors and .
Muhammad Faldiyan +2 more
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This work presents a review of the generalized intersection approach (GIA) for electromagnetic array antenna beam-shaping synthesis. After briefly describing the mechanics of the classical IA, we show the extensions to the IA that make the GIA a more ...
Daniel R. Prado
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Tree-level S-matrix of superstring field theory with homotopy algebra structure
We show that the tree-level S-matrices of the superstring field theories based on the homotopy-algebra structure agree with those obtained in the first-quantized formulation. The proof is given in detail for the heterotic string field theory.
Hiroshi Kunitomo
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A counterexample to the Nelson-Seiberg theorem
We present a counterexample to the Nelson-Seiberg theorem and its extensions. The model has 4 chiral fields, including one R-charge 2 field and no R-charge 0 filed.
Zheng Sun, Zipeng Tan, Lu Yang
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Multivariable dimension polynomials and new invariants of differential field extensions
We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new ...
Alexander B. Levin
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Topological entropy for locally linearly compact vector spaces and field extensions
Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or ...
Castellano Ilaria
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Infinite Towers of Galois Defect Extensions of Kaplansky Fields
We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of ...
Blaszczok Anna
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