Uniqueness of Bases for almost linear spaces

Uniqueness of Bases for almost linear spaces

O. Mayer[9] introduced an almost linear space (als), a generalization of a linear space. The notion of a basis for an als was introduced by G. Godini[3]. Later, man properties of an als established by a number of authors. In this paper, we prove that the cardinality of bases for an als is unique. All spaces involved in this paper are over the real field $R$. Let us denote by $R_+$ the set ${\lambda \in R : \lambda \geq 0}$. We recall some definitions used in this paper.

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