Submodule of free Z-module

In this article, we formalize a free Z-module and its property. In particular, we formalize the vector space of rational field corresponding to a free Z-module and prove formally that submodules of a free Z-module are free. Z-module is necassary for lattice problems - LLL (Lenstra, Lenstra and Lov´a...

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Bibliographic Details
Main Authors: Futa Yuichi, Okazaki Hiroyuki, Shidama Yasunari
Format: Article
Language:English
Published: Sciendo 2013-12-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.2478/forma-2013-0029