ABSTRACT
VALENTINA BARUCCI, Dipartimento di Matematica, Universita "La Sapienza", Piazzale A.Moro 2, 00185 Roma, Italy, email: barucci@mat. uniromal .it RALF FROBERG, Matematiska institutionen Stockholms Universitet, 10691 Stockholm, Sweden, email: ralfF@matematik.su.se
1 INTRODUCTION
If I is an ideal of a (commutative) ring R and IR(R/!) = h, we say that / has colength h. Maximal ideals have colength 1, and there may be many other ideals of finite colength even in non-Noetherian rings. If R is a one-dimensional Noetherian domain, every non-zero ideal has finite colength.
