4 citations · 8 across the 11 of their papers we have counts for
12 papers
On finitely stable domains
Stefania Gabelli, Moshe Roitman
We study Archimedean and locally Archimedean stable domains. We prove that a domain is stable and one-dimensional if and only if it is finitely stable and Mori. But we give example…
Locally principal ideals and finite character
Stefania Gabelli
It is well-known that if R is a domain with finite character, each locally principal nonzero ideal of R is invertible. We address the problem of understanding when the converse is…
w-Stability and Clifford w-Regularity of Polynomial Rings
Stefania Gabelli, Giampaolo Picozza
We investigate the transfer of w-stability and Clifford w-regularity from a domain D to the polynomial ring D[X]. We show that these two properties pass from D to D[X] when D is ei…
Star Stability and Star Regularity for Mori Domains
Stefania Gabelli, Giampaolo Picozza
In the last few years, the concepts of stability and Clifford regularity have been fruitfully extended by using star operations. In this paper we study and put in relation these pr…
Stability and Clifford regularity with respect to star operations
Stefania Gabelli, Giampaolo Picozza
In the last few years, the concepts of stability and Clifford regularity have been fruitfully extended by using star operations. In this paper we deepen the study of star stable an…
w-Divisoriality in Polynomial Rings
Stefania Gabelli, Evan Houston, Giampaolo Picozza
We extend the Bass-Matlis characterization of local Noetherian divisorial domains to the non-Noetherian case. This result is then used to study the following question: If a domain…