TITLE: The Computer Algebra System CoCoA ABSTRACT: CoCoA is a special-purpose system for doing Computations in Commutative Algebra. It is one of the products of a research team in Computer Algebra whose members are: Lorenzo Robbiano, John Abbott, Anna Bigatti, Massimo Caboara, Antonio Capani, Martin Kreuzer, Gianfranco Niesi, David Perkinson and occasionally other researchers and students. It is public domain software, and can be obtained by anonymous ftp from http://cocoa.dima.unige.it The architecture of CoCoA is designed to offer flexibility through efficiency, portability and programmability. It runs on most platforms. With CoCoA one can basically do operations over commutative rings of polynomials. Currently CoCoA is used by researchers in several countries. Most of them are Commutative Algebraists and Algebraic Geometers, but also people working in different areas like Analysis and Statistics have already benefitted from our system. CoCoA is also used as the main system for teaching courses in several Universities.