Summary
A basic inequality is derived for the grade of a finitely generated ideal on a general module. The methods used are both simple and elementary. No Noetherian conditions are needed.
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References
D. G. Northcott,Lesson on rings, modules and multiplicities, Cambridge University Press, 1968.
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Dedicated to ProfessorB. Segre on his seventieth birthday
Entrata in Redazione il 22 maggio 1973.
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Northcott, D.G. An elementary derivation of an inequality involvingR-sequences. Annali di Matematica 102, 155–157 (1975). https://doi.org/10.1007/BF02410603
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DOI: https://doi.org/10.1007/BF02410603