El Fadil, Lhoussain On the index divisors and monogenity of number fields defined by \(x^5 + ax^3 + b\). (English) Zbl 07755241 Quaest. Math. 46, No. 11, 2355-2365 (2023). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Quaest. Math. 46, No. 11, 2355--2365 (2023; Zbl 07755241) Full Text: DOI
Chems-Eddin, Mohamed Mahmoud; El Fadil, Lhoussain The 2-class group of certain families of imaginary triquadratic fields. (English) Zbl 1518.11075 Math. Slovaca 73, No. 4, 835-848 (2023). MSC: 11R18 11R29 11R11 11R16 11R27 PDFBibTeX XMLCite \textit{M. M. Chems-Eddin} and \textit{L. El Fadil}, Math. Slovaca 73, No. 4, 835--848 (2023; Zbl 1518.11075) Full Text: DOI
El Fadil, Lhoussain; Gaál, István Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9. (English) Zbl 1516.11101 Tatra Mt. Math. Publ. 83, 61-86 (2023). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} and \textit{I. Gaál}, Tatra Mt. Math. Publ. 83, 61--86 (2023; Zbl 1516.11101) Full Text: DOI
El Fadil, Lhoussain On power integral bases for certain pure sextic fields. (English) Zbl 07801931 Bol. Soc. Parana. Mat. (3) 40, Paper No. 143, 7 p. (2022). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Bol. Soc. Parana. Mat. (3) 40, Paper No. 143, 7 p. (2022; Zbl 07801931) Full Text: DOI
El Fadil, Lhoussain On monogenity of certain pure number fields defined by \(x^{20}-m\). (English) Zbl 1499.11317 São Paulo J. Math. Sci. 16, No. 2, 1063-1071 (2022). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, São Paulo J. Math. Sci. 16, No. 2, 1063--1071 (2022; Zbl 1499.11317) Full Text: DOI
El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{18}-m\). (English) Zbl 07584110 Commentat. Math. Univ. Carol. 63, No. 1, 11-19 (2022). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Commentat. Math. Univ. Carol. 63, No. 1, 11--19 (2022; Zbl 07584110) Full Text: DOI
El Fadil, Lhoussain On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\). (English) Zbl 1494.11084 J. Number Theory 239, 489-500 (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 239, 489--500 (2022; Zbl 1494.11084) Full Text: DOI
El Fadil, Lhoussain On power integral bases for certain pure number fields. (English) Zbl 1499.11316 Publ. Math. Debr. 100, No. 1-2, 219-231 (2022). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Publ. Math. Debr. 100, No. 1--2, 219--231 (2022; Zbl 1499.11316) Full Text: DOI arXiv
Fadil, Lhoussain El On monogenity of certain pure number fields defined by \(x^{2^u\cdot 3^v\cdot 5^t}-m\). arXiv:2204.02436 Preprint, arXiv:2204.02436 [math.NT] (2022). MSC: 11R04 11R16 11R21 BibTeX Cite \textit{L. E. Fadil}, ``On monogenity of certain pure number fields defined by $x^{2^u\cdot 3^v\cdot 5^t}-m$'', Preprint, arXiv:2204.02436 [math.NT] (2022) Full Text: arXiv OA License
El Fadil, Lhoussain; Ben Yakkou, Hamid; Didi, Jalal On power integral bases of certain pure number fields defined by \(x^{42}-m\). (English) Zbl 1478.11124 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 81, 10 p. (2021). MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 81, 10 p. (2021; Zbl 1478.11124) Full Text: DOI
Ben Yakkou, Hamid; El Fadil, Lhoussain On monogenity of certain pure number fields defined by \(x^{p^r}-m\). (English) Zbl 1483.11236 Int. J. Number Theory 17, No. 10, 2235-2242 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{H. Ben Yakkou} and \textit{L. El Fadil}, Int. J. Number Theory 17, No. 10, 2235--2242 (2021; Zbl 1483.11236) Full Text: DOI arXiv
El Fadil, Lhoussain On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients. (English) Zbl 1479.11182 J. Number Theory 228, 375-389 (2021). Reviewer: Radoslav M. Dimitrić (New York) MSC: 11R04 11R16 11R21 11Y50 11Y40 11R29 PDFBibTeX XMLCite \textit{L. El Fadil}, J. Number Theory 228, 375--389 (2021; Zbl 1479.11182) Full Text: DOI arXiv
Fadil, Lhoussain El; Najim, A. On power integral bases of certain pure number fields defined by \(x^{2^u\cdot3^v}-m\). arXiv:2106.01252 Preprint, arXiv:2106.01252 [math.NT] (2021). MSC: 11R04 11R16 11R21 BibTeX Cite \textit{L. E. Fadil} and \textit{A. Najim}, ``On power integral bases of certain pure number fields defined by $x^{2^u\cdot3^v}-m$'', Preprint, arXiv:2106.01252 [math.NT] (2021) Full Text: arXiv OA License
El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{24}-m\). (English) Zbl 1474.11182 Stud. Sci. Math. Hung. 57, No. 3, 397-407 (2020). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R16 11R21 PDFBibTeX XMLCite \textit{L. El Fadil}, Stud. Sci. Math. Hung. 57, No. 3, 397--407 (2020; Zbl 1474.11182) Full Text: DOI
El Fadil, Lhoussain Prime ideal factorization and \(p\)-integral basis of quintic number fields defined by \(X^5+aX+b\). (English) Zbl 1407.11145 Gulf J. Math. 6, No. 4, 1-13 (2018). MSC: 11Y40 11R16 PDFBibTeX XMLCite \textit{L. El Fadil}, Gulf J. Math. 6, No. 4, 1--13 (2018; Zbl 1407.11145) Full Text: Link
El Fadil, L.; Chillali, Abdelhakim; Akharraz, Ismail Prime ideal factorization in quartic number fields. (English) Zbl 1393.11087 Gulf J. Math. 4, No. 4, 1-15 (2016). MSC: 11Y40 PDFBibTeX XMLCite \textit{L. El Fadil} et al., Gulf J. Math. 4, No. 4, 1--15 (2016; Zbl 1393.11087) Full Text: Link
El Fadil, Lhoussain Integral basis of cubic number fields. (English) Zbl 1222.11125 Fontana, Marco (ed.) et al., Commutative algebra and its applications. Proceedings of the fifth international Fez conference on commutative algebra and applications, Fez, Morocco, June 23–28, 2009. Berlin: Walter de Gruyter (ISBN 978-3-11-020746-0/hbk). 213-221 (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R16 PDFBibTeX XMLCite \textit{L. El Fadil}, in: Commutative algebra and its applications. Proceedings of the fifth international Fez conference on commutative algebra and applications, Fez, Morocco, June 23--28, 2009. Berlin: Walter de Gruyter. 213--221 (2009; Zbl 1222.11125) Full Text: DOI arXiv
El Fadil, Lhoussain Computation of a power integral basis of a pure cubic number field. (English) Zbl 1148.11015 Int. J. Contemp. Math. Sci. 2, No. 13-16, 601-606 (2007). Reviewer: István Gaál (Debrecen) MSC: 11D25 11R16 PDFBibTeX XMLCite \textit{L. El Fadil}, Int. J. Contemp. Math. Sci. 2, No. 13--16, 601--606 (2007; Zbl 1148.11015) Full Text: DOI Link