Riassunto
Vengono esposti i risutati ottenuti per i moduli uniseriali non standard su domini di valutazione, a partire dalla prima dimostrazione della loro esistenza, data da Shelah nel 1984: le altre prove di esistenza, la loro struttura interna, l'organizzazione in una certa gerarchia ed alcune applicazioni, tra cui la soluzione di un problema posto da Kaplansky ed una generalizzazione della classica equivalenza di Matlis.
Summary
The results obtained for non standard uniserial modules over valuation domains after the first proof of their existence given by Shelah in 1984 are exposed: the other existence proofs, their internal structure, the organization of their class in a suitable hierarchy, and some applications, as the solution of a problem posed by Kaplansky and a generalization of the classical equivalence.
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Bibliografia
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(Conferenza tenuta il 20 maggio 1990)
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Salce, L. Moduli uniseriali non standard. Seminario Mat. e. Fis. di Milano 60, 177–192 (1990). https://doi.org/10.1007/BF02925085
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DOI: https://doi.org/10.1007/BF02925085