G-96-55
Short Exact Sequences of Pseudomodules: a Canonical Approach to the Decomposition of Pseudomodules
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We show here how to define short exact sequences in pseudomodules. More precisely, for a given subpseudomodule M of a pseudomodule N, we define an equivalence relation such that the sequence , is (almost) exact. This then yields a decomposition of N into a subdirect sum of pseudomodules: . This approach generalizes that of [8], where the decomposition was limited to the case of pseudomodules with torsion.
Paru en novembre 1996 , 12 pages