THE HOMOMORPHISM THEOREMS IN A REGULAR INCLINE

Abstract

In this paper, we have proved that if R is a regular incline, I and J are ideals of R such that IJR then J/I is an ideal of a regular quotient incline R/I and studied the homomorphism between the regular inclines. Further we have proved that  is the natural homomorphism between the regular inclines R and R/I and Kernel of  is an ideal of R. In particular we have shown Kernel of  equals I and we have proved the homomorphism theorems in the context of regular incline.