Bases in max-algebra Original Research Article

For n-tuples over the algebraic system image, concepts such as linear dependence, space and basis may be defined by analogy with classical linear algebra. Whenever a space is finitely generated, it possesses a basis and all its bases are trivially related and therefore have the same cardinality. However, for any given n>2, spaces with bases of arbitrary cardinality may be constructed, as well as spaces with no basis.