A NOTE ON MULTIPLIERS OF SUBTRACTION ALGEBRAS

In this paper, we introduce the concept of normal ideal of a subtraction algebra and study properties in connection with multiplies of subtraction algebras. The image and inverse image of a normal ideal of a subtraction algebra are proved to be again normal ideals. Also, we characterize the normal ideals of direct products of subtraction algebras. Finally, the concept of a weak congruence is introduced in subtraction algebras and obtain an interconnection between multipliers and weak congruences.