Abstract:Goldman  has introduced the notion of the length of a module with respect to a torsion theory and has studied finitely-generated modules over left noetherian rings which have finite length. In this note we simplify the proofs of some of Goldman’s results and generalize them by removing both the finite-generation and noetherianness conditions.
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- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 103-108
- MSC: Primary 16A46
- DOI: https://doi.org/10.1090/S0002-9939-1975-0429981-2
- MathSciNet review: 0429981