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Modules with Chain Conditions on Non-essential Submodules |
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| Abstract: | Abstract We investigate when modules which satisfy the descending (respectively, ascending) chain condition on non-essential submodules are uniform or Artinian (respectively, Noetherian). |
| Keywords: | Essential Artinian Noetherian Uniform Nonsingular Singular submodule Annihilators Divisible module Torsion-free module Discrete valuation ring Krull dimension |