Results 1 to 10 of about 68,641 (256)

Polynomial composites and certain types of fields extensions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
In this paper, we consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions.
Ł. Matysiak
doaj   +1 more source

A brief introduction to extended gravity and connections to dark energy: Illustrated with scalar field examples

open access: yesSciPost Physics Lecture Notes, 2022
These lecture notes provide a brief introduction to extensions of gravity and their connections to dark energy. Due to time and space limitations this is not a comprehensive review of the field. Instead, I aim to introduce key concepts and ideas in this
Clare Burrage
doaj   +1 more source

Modular Field Extensions [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Let K ⊃ k K \supset k be fields having characteristic p ≠ 0 p \ne 0 . The following is proved. If K K is algebraic over k k then K K is modular over k k if and only if K =
Heerema, Nickolas, Tucker, David
openaire   +2 more sources

Extensions of two-field mimetic gravity

open access: yesJournal of High Energy Physics, 2023
Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved.
Yunlong Zheng, Haomin Rao
doaj   +1 more source

A Retrospective Study on Skellam and Related Distributions

open access: yesAustrian Journal of Statistics, 2022
This paper reviews works on Skellam distribution, its extensions and areas of applications. Available literature shows that this distribution is flexible for modelling integer data where they appear as count data or paired count data in the field of ...
Lishamol Tomy, Veena G
doaj   +3 more sources

ISA Extensions for Finite Field Arithmetic

open access: yesTransactions on Cryptographic Hardware and Embedded Systems, 2020
We present and evaluate a custom extension to the RISC-V instruction set for finite field arithmetic. The result serves as a very compact approach to software-hardware co-design of PQC implementations in the context of small embedded processors such as ...
Erdem Alkim   +4 more
doaj   +1 more source

The eigenspaces of twisted polynomials over cyclic field extensions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ].
Owen Adam, Pumplün Susanne
doaj   +1 more source

Some interactions between Hopf Galois extensions and noncommutative rings

open access: yesUniversitas Scientiarum, 2022
In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
doaj   +1 more source

A bridge to new physics: proposing new — and reviving old — explanations of a μ

open access: yesJournal of High Energy Physics, 2022
The 4.2 σ tension in the combined measurement of the anomalous magnetic moment of the muon, a μ , and the Standard Model prediction strongly suggests the existence of beyond the Standard Model physics.
Guilherme Guedes, Pablo Olgoso
doaj   +1 more source

Towards the one loop IR/UV dictionary in the SMEFT: One loop generated operators from new scalars and fermions

open access: yesSciPost Physics, 2023
Effective field theories offer a rationale to classify new physics models based on the size of their contribution to the effective Lagrangian, and therefore to experimental observables.
Guilherme Guedes, Pablo Olgoso, José Santiago
doaj   +1 more source

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