A study on firerings

Abstract

In this paper we have introduced the notion of firering, subfirering, fireideal and studied some of their properties. We have shown that rings (subfirerings or fireideals) is again a firering (subfirering or fireideal) and justified that the union of two firerings (subfirerings or fireideals) need not be a firering (subfirering or fireideal). Also we have proved that the homomorphic image and pre image of a firering (subfirering or fireideal) is again a firering (subfirering or fireideal).