A STUDY ON REAL FUNCTION ALGEBRA

Abstract

In this paper aim of researcher is to study on real function algebras. It is possible to associate a complex function algebra with a given real function algebra by complexifying it. This technique of complexification is often employed to study the properties of a real function algebra. A good deal of work has been done in the field of real function algebras. Kulkarni and Srinivasan have defined the Bishop decomposition for real v function algebras. We introduce the Silov decomposition for real function algebras and prove some basic properties of it.