On the decidability of the field of maximal abelian extension of p-adic numbers

On the decidability of the field of maximal abelian extension of p-adic numbers

<p>In this project we investigate some approaches attacking the question of whether the theory of the maximal abelian extension of the p-adic numbers is decidable. A list of axioms is presented whose completeness we aim to show via quantifier elimination. We separated the quantifier eliminatio...

Mô tả đầy đủ

Chi tiết về thư mục
Tác giả chính: Wang, C
Tác giả khác: Koenigsmann, J
Định dạng: Luận văn
Được phát hành: 2018
Miêu tả
Tóm tắt:<p>In this project we investigate some approaches attacking the question of whether the theory of the maximal abelian extension of the p-adic numbers is decidable. A list of axioms is presented whose completeness we aim to show via quantifier elimination. We separated the quantifier elimination process into five embedding stages. We constructed four of the embeddings, up to the subextension field whose residue field is algebraically closed. For the last stage, some possible approaches are discussed.</p>

Những quyển sách tương tự