Constructions of finitely generated submodules of constructively noetherian modules
Wim Ruitenburg (1987)
Compositio Mathematica
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Constructions of finitely generated submodules of constructively noetherian modules
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Lattices of submodules of modules and the operators we can define on these lattices are useful tools in the study of rings and modules and their properties. Here we shall consider some submodule operators defined by sets of left ideals. First we focus our attention on the relationship between properties of a set of ideals and properties of a submodule operator it defines. Our second goal will be to apply these results to the study of the structure of certain classes of rings and modules....