%0 Journal Article
%T A MATHEMATICAL BASIS FOR SYSTEMS THEORY OVER QUASI-FIELDS
准域上系统理论的数学基础
%A CHEN WEN-DE
%A
陈文德
%J 系统科学与数学
%D 1986
%I
%X 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.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=255711955BF5EE5FFD5309159EEB84E0&yid=4E65715CCF57055A&vid=B31275AF3241DB2D&iid=CA4FD0336C81A37A&sid=6E5881F2FFE5E466&eid=5F650987F8933046&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=2&reference_num=0