Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Mohamed E. Charkani"'
Autor:
Mohammed Sahmoudi, Mohamed E. Charkani
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 1, Pp 117-128 (2023)
Let $L = K(\alpha)$ be an extension of a number field $K$, where $\alpha$ satisfies the monic irreducible polynomial $P(X)=X^p-\beta$ of prime degree belonging to $\mathfrak{o}_K[X]$ ($\mathfrak{o}_K$ is the ring of integers of $K$). The purpose of t
Externí odkaz:
https://doaj.org/article/37c8eb84bdd94da8be511da1dce98287
Autor:
Mohamed E. Charkani, Mohammed Sahmoudi
Publikováno v:
Mathematica Bohemica. 148:117-128
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d678ba4bd9014a1038d303496c1ae46e
https://doi.org/10.21136/mb.2022.0142-21
https://doi.org/10.21136/mb.2022.0142-21
Publikováno v:
Communications in Algebra. 49:2469-2475
In this paper, we are going to exploit the irreducibility of the composite polynomial defined on the same field to prove a New and useful result linking the index-ideal in Tower extensions allowing...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75a642ebd186a364aa3ef212bd4b06d2
https://doi.org/10.1080/00927872.2021.1872590
https://doi.org/10.1080/00927872.2021.1872590
Autor:
Mohamed E. Charkani, Abdulaziz Deajim
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 56:260-266
Let R be a discrete valuation ring, its nonzero prime ideal, P ∈R[X] a monic irreducible polynomial, and K the quotient field of R. We give in this paper a lower bound for the -adic valuation of the index of P over R in terms of the degrees of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e28fb53b2ebba2736a544415194e7eac
https://doi.org/10.1556/012.2019.56.2.1424
https://doi.org/10.1556/012.2019.56.2.1424
Autor:
Abdulaziz Deajim, Mohamed E. Charkani
Publikováno v:
Journal of Number Theory. 132(10):2267-2276
Let R be a Dedekind ring, K its quotient field, L a separable finite extension over K , and O L the integral closure of R in L . In this paper we provide a “practical” criterion that tests when a given α ∈ O L generates a power basis for O L o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c304234ac2ecf68049465d18011e05eb