Near-Semiring (Paperback)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a near-semiring (also seminearring) is an algebraic structure more general to near-ring and semiring. Near-semirings arise naturally from functions on semigroups. A near-semiring is a nonempty set S with two binary operations +' and ', and a constant 0 such that (S; +; 0) is a monoid, (S; ) is a semigroup, these structures are related by one (right or left) distributive law, and accordingly the 0 is one (right or left, respectively) side absorptive element.