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Formalized Mathematics
Volume 25 (2017): Issue 2 (July 2017)
Open Access
Dual Lattice of ℤ-module Lattice
Yuichi Futa
Yuichi Futa
Tokyo University of Technology
Tokyo, Japan
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Futa, Yuichi
and
Yasunari Shidama
Yasunari Shidama
Shinshu University
Nagano, Japan
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Shidama, Yasunari
Sep 23, 2017
Formalized Mathematics
Volume 25 (2017): Issue 2 (July 2017)
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Published Online:
Sep 23, 2017
Page range:
157 - 169
Received:
Jun 27, 2017
DOI:
https://doi.org/10.1515/forma-2017-0015
Keywords
ℤ-lattice
,
dual lattice of ℤ-lattice
,
dual basis of ℤ-lattice
© 2017 Yuichi Futa et al., published by De Gruyter Open
This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.
