Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Strong linearly independent vectors in semilinear spaces and their applications

Authors
Qian-yu Shu, Qing-quan Xiong
Corresponding Author
Qian-yu Shu
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.19How to use a DOI?
Keywords
Semilinear spaces, Strong linearly independent, Basis, Kronecker-Capelli theorem.
Abstract

The aim of this contribution is to discuss the characterizations of L-semilinear spaces which are generated by strong linearly independent vectors. First, we show that the basis in L-semilinear spaces which are generated by strong linearly independent vectors is also strong linearly independent. Then we prove that the analogue of the Kronecker-Capelli theorem is valid for systems of equations.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.19How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Qian-yu Shu
AU  - Qing-quan Xiong
PY  - 2015/06
DA  - 2015/06
TI  - Strong linearly independent vectors in semilinear spaces and their applications
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 112
EP  - 117
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.19
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.19
ID  - Shu2015/06
ER  -