Structures of Certain Classes of Semirings

Chapter one deals with a general introduction and brief survey on the developments of semirings and ordered semirings which also includes the major results of the author. In chapter two we study the structure of subidempotent semirings and ordered subidempotent semirings. We also study almost idempotent semirings. Chapter three deals with left regular semirings and ordered left regular semirings. We also discuss the Properties of E-inverse semirings. In chapter four we discuss the properties of semirings and ordered semirings with completely regular semirings. Also completely regular ternary semirings are studied. In chapter 5 boolean-like semirings and the Zeroid concept is studied.