Abstract
Necessary and sufficient conditions are given for a module over a Dedekind domain to satisfy the ascending chain condition on n-generated submodules for every positive integer n or on submodules with uniform dimension at most n for every positive integer n. These results are then extended to modules over commutative Noetherian domains which need not be Dedekind.
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For Robert Wisbauer on the occasion of his 65th birthday
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© 2008 Birkhäuser Verlag Basel/Switzerland
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Campos, E.S., Smith, P.F. (2008). Certain Chain Conditions in Modules over Dedekind Domains and Related Rings. In: Brzeziński, T., Gómez Pardo, J.L., Shestakov, I., Smith, P.F. (eds) Modules and Comodules. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8742-6_8
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DOI: https://doi.org/10.1007/978-3-7643-8742-6_8
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