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Formalized Mathematics
Volume 22 (2014): Issue 3 (September 2014)
Open Access
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Kazuhisa Nakasho
Kazuhisa Nakasho
,
Yuichi Futa
Yuichi Futa
,
Hiroyuki Okazaki
Hiroyuki Okazaki
and
Yasunari Shidama
Yasunari Shidama
| Mar 31, 2014
Formalized Mathematics
Volume 22 (2014): Issue 3 (September 2014)
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Published Online:
Mar 31, 2014
Page range:
189 - 198
Received:
Jul 10, 2014
DOI:
https://doi.org/10.2478/forma-2014-0021
© by Kazuhisa Nakasho
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. (CC BY-SA 3.0)
Kazuhisa Nakasho
Shinshu University Nagano, Japan
Yuichi Futa
Japan Advanced Institute of Science and Technology Ishikawa, Japan
Hiroyuki Okazaki
Shinshu University Nagano, Japan
Yasunari Shidama
Shinshu University Nagano, Japan