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I contributi di Gaetano Scorza alla Teoria dei Gruppi

Guido Zappa (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Vengono esaminati i contributi di Gaetano Scorza (1876-1942) alla Teoria dei Gruppi.

Ideal-theoretic characterizations of valuation and Prüfer monoids

Franz Halter-Koch (2004)

Archivum Mathematicum

It is well known that an integral domain is a valuation domain if and only if it possesses only one finitary ideal system (Lorenzen r -system of finite character). We prove an analogous result for root-closed (cancellative) monoids and apply it to give several new characterizations of Prüfer (multiplication) monoids and integral domains.

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