Resumen de Intermediary rings in normal pairs

Ahmed Ayache, Noômen Jarboui

• We establish in this paper a result that gives the number of intermediary rings between R and S where (R,S) is a normal pair of rings. This result answers in particular a question which was left open in [A. Jaballah, Finiteness of the set of intermediary rings in a normal pair, Saintama Math. J. 17 (1999) 59�61]. Further applications are also given.