- A Formalization of Dedekind Domains and Class Groups of Global ...🔍
- A formalization of Dedekind domains and class groups of global fields🔍
- A paper on formalizing Dedekind domains and the class number🔍
- Dedekind domains and class number in Lean🔍
- [PDF] Minkowski's Theorem🔍
- Formalizing the Ring of Adèles of a Global Field🔍
- A Formalization of Complete Discrete Valuation Rings and Local ...🔍
- a study on role of dedekind domains in algebraic number theory🔍
A Formalization of Dedekind Domains and Class Groups of Global ...
A Formalization of Dedekind Domains and Class Groups of Global ...
What is arithmetically crucial is the theorem ensuring that the ring of integers \mathcal {O}_{K} of every number field K is a Dedekind domain, ...
A formalization of Dedekind domains and class groups of global fields
Title:A formalization of Dedekind domains and class groups of global fields ... Abstract:Dedekind domains and their class groups are notions in ...
A Formalization of Dedekind Domains and Class Groups of Global ...
Dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these structures and ...
A formalization of Dedekind domains and class groups of global fields
When the distinction is important, we refer to an ideal I ⊆ Z as an integral ideal. 127. The nonzero fractional ideals of Z naturally form a multiplicative ...
A formalization of Dedekind domains and class groups of global fields
Dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these ...
A formalization of Dedekind domains and class groups of global fields
Dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these structures and ...
A formalization of Dedekind domains and class groups of global fields
Theorem: if OK is a ring of integers, ClOK is a finite abelian group. The class number of K is the cardinality of ClOK . Theorem: A Dedekind domain is a UFD ⇐⇒ ...
A Formalization of Dedekind Domains and Class Groups of Global ...
AbstractDedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these ...
A Formalization of Dedekind Domains and Class Groups of Global ...
This paper describes the formalization process, noting the idioms we found useful in our development and mathlib's decentralized collaboration processes.
A paper on formalizing Dedekind domains and the class number
A formalization of Dedekind domains and class groups of global fields. This repository contains the source code for the paper "A formalization of Dedekind ...
A formalization of Dedekind domains and class groups of global fields
PDF | Dedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory.
Dedekind domains and class number in Lean | Lean community blog
... domains and class groups of global fields (those words will be explained below). Previous PRs had shown that nonzero ideals of a Dedekind domain ...
[PDF] Minkowski's Theorem - Semantic Scholar
A Formalization of Dedekind Domains and Class Groups of Global Fields · Mathematics, Computer Science. Journal of Automated Reasoning · 2022.
Program | ITP 2021 - EasyConferences.eu
Mathematics Formalizations. 12:15 – 13:30. Chair: Larry Paulson. A formalization of Dedekind domains and class groups of global fields. Anne Baanen, Sander R ...
Formalizing the Ring of Adèles of a Global Field - NASA/ADS
As a prerequisite, we formalized adic valuations on Dedekind domains. We present some applications, including the statement of the main theorem of global class ...
A Formalization of Complete Discrete Valuation Rings and Local ...
A Formalization of Dedekind Domains and Class Groups of Global Fields. In 12th International Conference on Interactive Theorem Proving (ITP ...
a study on role of dedekind domains in algebraic number theory
A formalization of Dedekind domains and class groups of global fields · Ashvni Narayanan. 2021. Dedekind domains and their class groups are notions in ...
Ashvni Narayanan - Google Scholar
A formalization of Dedekind domains and class groups of global fields. A Baanen, SR Dahmen, A Narayanan, ... Journal of Automated Reasoning 66 (4), 611-637, ...
The Golomb topology on a Dedekind domain and the group of units ...
We study the Golomb spaces of Dedekind domains with torsion class group. In particular, we show that a homeomorphism between two such spaces sends prime ideals ...
Sur le groupe des classes d'un anneau intègre - SpringerLink
... class of domains other than Krull domains, the Mori domains and. ... A Formalization of Dedekind Domains and Class Groups of Global Fields.