ideals in pseudo-hoop algebras

Pseudo-hoop algebras are non-commutative generalizations of hoop-algebras, originally introduced by bosbach. in this paper, we study ideals in pseudo-hoop algebras. we define congruences induced by ideals and construct the quotient structure. we show that there is a one-toone correspondence between the set of all normal ideals of a pseudo-hoop algebra a with condition (pdn) and the set of all congruences on a. also, we prove that if a is a good pseudo-hoop algebra with pre-linear condition, then a normal ideal p of a is prime if and only if a/p is a pseudo-hoop chain. furthermore, we analyse the relationship between ideals and filters of a.