A MATHEMATICAL BASIS FOR SYSTEMS THEORY OVER QUASI-FIELDS
W Chen · 1986
The quasi-field is an algebraic structure which is weaker than the field(it is a com-mutative monoid for addition).This paper points out that the quasi-fields have onlythree classes:field;logical algebra and its extension;and the set of nonnegative ra-tional numbers and its extension.We also give the concepts of quasi-basis and rankfor module over the quasi-field.