EUDML

Currently displaying 1 – 5 of 5

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On the surjectivity of the map $T (A) \to T (A_{S})$

Stefania Gabelli — 1988

Publications du Département de mathématiques (Lyon)

On domains with ACC on invertible ideals

Stefania Gabelli — 1988

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

If $A$ is a domain with the ascending chain condition on (integral) invertible ideals, then the group $I(A)$ of its invertible ideals is generated by the set $I_{m}(A)$ of maximal invertible ideals. In this note we study some properties of $I_{m}(A)$ and we prove that, if $I(A)$ is a free group on $I_{m}(A)$ , then $A$ is a locally factorial Krull domain.

Finite character, local stability property and local invertibility property

Stefania Gabelli — 2010

Actes des rencontres du CIRM

We illustrate some results relating the finite character property, the local stability property and the local invertibility property of a domain and give a partial answer to two open questions.