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系统科学与数学 1986
A MATHEMATICAL BASIS FOR SYSTEMS THEORY OVER QUASI-FIELDS
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Abstract:
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.