On power integral bases and monogenity in number fields (original) (raw)

I would like at first to express my immense gratitude to my supervisor Pr. Lhoussain El Fadil. I'am grateful to him for the trust he put in me when he accepted to supervise my thesis. Thanks for his wise guidance and his constant and precious advise throughout this work. I would also like to mention his personal qualities for he was very patient, humble and always encouraging. I would like to thank Professor Najib Mahdou for accepting to be the president of the jury of my thesis. Also, I would like to thank Pr. István Gaál for his help during our work on this thesis. I thank him for his seriousness, openness and sincerity. I also thank him for accepting to be a member of my thesis's review committee. I specifically thank him for his guidance and his precious remarks. I would also like to thank Pr. Hakima Mouanis and Pr. Abdelkader Zekhnini for accepting to review my work. I thank professors Abdelhakim Chillali and El Mostafa Kalmoun for accepting to judge my work. Thanks to Professor Hanane Choulli for accepting the invitation. It is my honor to be judged by such dedicated and seasoned professors of mathematics. I also thank my professor Mohammed Elhassani Charkani who taught me courses in both undergraduate and graduate studies and who supervised my master's thesis. Many thanks to my teacher Ahmed Tawrti. Thanks to Professor Abdlkarim Boua for his encouragements. I thank professors Karim Mounirh, Rachid El Filali, and Hafid Elouarat for their help in the review process of some part of this thesis. Their help is immense and much appreciated. Many thanks to my friends, especially to Mounim El Ouardy. At last, I would like to thank my family, my parents, my sister, and brothers, especially, my brother Aziz for the endless love and support. This work is dedicated to all of them.