Explicit Pre A*-algebra

Abstract

This manuscript is a study on Birkhoff centre of a Pre-A*-algebra. In fact, it is proved that Birkhoff centre of a Pre A*-algebra is also a Pre A*-algebra and identified that the centre of Birkhoff centre of a Pre A*-algebra is a Boolean algebra. Keywords: Pre A*-algebra, Centre, Birkoff centre, Boolean algebra.