Strong linearly independent vectors in semilinear spaces and their applications

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.