Results 11 to 20 of about 68,641 (256)

LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD

open access: yesUral Mathematical Journal, 2019
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
doaj   +1 more source

Literal and metaphorical usages of Babanki EAT and DRINK verbs

open access: yesAfrika und Übersee, 2021
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
doaj   +1 more source

On the Content Bound for Real Quadratic Field Extensions

open access: yesAxioms, 2012
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
doaj   +1 more source

Existence of Split Property in Quaternion Algebra Over Composite of Quadratic Fields

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
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
doaj   +1 more source

The Generalized Intersection Approach for Electromagnetic Array Antenna Beam-Shaping Synthesis: A Review

open access: yesIEEE Access, 2022
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
doaj   +1 more source

Tree-level S-matrix of superstring field theory with homotopy algebra structure

open access: yesJournal of High Energy Physics, 2021
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
doaj   +1 more source

A counterexample to the Nelson-Seiberg theorem

open access: yesJournal of High Energy Physics, 2020
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
doaj   +1 more source

Multivariable dimension polynomials and new invariants of differential field extensions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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
doaj   +1 more source

Topological entropy for locally linearly compact vector spaces and field extensions

open access: yesTopological Algebra and its Applications, 2020
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
doaj   +1 more source

Infinite Towers of Galois Defect Extensions of Kaplansky Fields

open access: yesAnnales Mathematicae Silesianae, 2018
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
doaj   +1 more source

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