Goldie theorems for associative pairs

We develop a Goldie theory for associative pairs and characterize associative pairs which are orders in semiprime associative pairs coinciding with their socles, and those which are orders in semiprime artinian associative pairs.

This paper has appeared in Comm. in Algebra 26 (1998), 2987-3020.

A. Fernandez Lopez <emalfer@ccuma.sci.uma.es>