Embedded Lattice and Properties of Gram Matrix

In this article, we formalize in Mizar [14] the definition of embedding of lattice and its properties. We formally define an inner product on an embedded module. We also formalize properties of Gram matrix. We formally prove that an inverse of Gram matrix for a rational lattice exists. Lattice of Z-...

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Bibliographic Details
Main Authors: Futa Yuichi, Shidama Yasunari
Format: Article
Language:English
Published: Sciendo 2017-03-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.1515/forma-2017-0007