Divisible ℤ-modules

In this article, we formalize the definition of divisible ℤ-module and its properties in the Mizar system [3]. We formally prove that any non-trivial divisible ℤ-modules are not finitely-generated.We introduce a divisible ℤ-module, equivalent to a vector space of a torsion-free ℤ-module with a coeff...

Full description

Bibliographic Details
Main Authors: Futa Yuichi, Shidama Yasunari
Format: Article
Language:English
Published: Sciendo 2016-03-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.1515/forma-2016-0004