Some examples of modules over Noetherian rings

Musson, I. M.

Glasgow mathematical journal, Tome 23 (1982) no. 1, pp. 9-13

Résumé

The purpose of this note is to prove the following result.Theorem 1. Let n be an integer greater than zero. There exists a prime Noetherian ring R of Krull dimension n + 1 and a finitely generated essential extension W of a simple R-module V suchthat(i) W has Krull dimension n, and(ii) W/V is n-critical and cannot be embedded in any of its proper submodules.We refer the reader to [6] for the definition and properties of Krull dimension.

Détail

DOI : 10.1017/S0017089500004730

Bibliographie

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