'Institute of Mathematics, Czech Academy of Sciences'
Publication date
01/01/1999
Field of study
summary:From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra R of generalized real numbers. It is worth mentioning that the algebra R is not a field