Strong linearly independent vectors in semilinear spaces and their applications

DOI

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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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  - 10.2991/ifsa-eusflat-15.2015.19
ID  - Shu2015/06
ER  -