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• M. E. Antunes Sim˜oes and P. F. Smith, Direct products satisfying the as- cending chain condition for submodules with a bounded number of generators, Comm. Algebra 23 (1995), 3525-3540.
• M. E. Antunes Sim˜oes and P. F. Smith, On the ascending chain condition for submodules with a bounded number of generators, Comm. Algebra 24 (1996), 1721.
• M. E. Antunes Sim˜oes and P. F. Smith, Rings whose free modules satisfy the ascending chain condition on submodules with a bounded number of genera- tors, J. Pure Appl. Algebra 123 (1998), 51-66.
• B. Baumslag and G. Baumslag, On ascending chain conditions, Proc. London Math. Soc. (3) 22 (1971), 681-704.
• P. M. Cohn, Free Rings and their Relations, Academic Press, London, 1971.
• D. Frohn, A counterexample concerning ACCP in power series rings, Comm. Algebra 30 (2002), 2961-2966.
• D. Frohn, Modules with n-acc and acc on certain types of annihilators, J. Algebra 256 (2002), 467-483.
• L. Fuchs, Infinite Abelian Groups Vols I, II, Academic Press, New York, 1970.
• K.R Goodearl and R. B. WarŞeld, Jr., An Introduction to Noncommutative Noetherian Rings, London Math. Soc. Student Texts 16, Cambridge Univ. Press, Cambridge, 1989.
• W. Heinzer and D. Lantz, Commutative rings with ACC on n-generated ideals, J. Algebra 80 (1983), 261-278.
• J. C. McConnell and J. C. Robson, Noncommutative Noetherian Rings, Wiley- Interscience, Chichester, 1987.
• A.M. Nicolas, Sur les modules tels que toute suite croissante de sous-modules engendr´es par n g´en´erateurs soit stationnaire, J. Algebra 60 (1979), 249-260.
• G. Renault, Sur des conditions de chaines ascendantes dans des modules libres, J. Algebra 47 (1977), 268-275.
• G. Sabbach and P. Eklof, DeŞnability problems for modules and rings, J. Symbolic Logic 36 (1971), 623-649.
• B. Stenstr¨om, Rings of Quotients, Springer-Verlag, Berlin, 1975. Patrick F. Smith
• Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland UK E-mail: pfs@maths.gla.ac.uk