The Characteristics of Some Kinds of Special Quasirings

Abstract

By \u00a0using \u00a0quasi-group, \u00a0we \u00a0introduce \u00a0some \u00a0kinds \u00a0of \u00a0special \u00a0quasi-rings \u00a0and \u00a0discuss \u00a0their characteristics. \u00a0According \u00a0to \u00a0the \u00a0concept \u00a0of \u00a0monogenic \u00a0semigroup \u00a0we \u00a0introduce \u00a0definition \u00a0of \u00a0monogenic semiring and discuss the numbers and structures of monogenic semiring .Then we display their relations as following: