4 citations · 6 across the 10 of their papers we have counts for
11 papers
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…
On some classes of integral domains defined by Krull's operations
Marco Fontana, Giampaolo Picozza
Let be an integral domain with quotient field . The -operation that associates to each nonzero -submodule of , $E^b := \bigcap\{EV \mid V valuation overring of…
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…
Flat Ideals and Stability in Integral Domains
Giampaolo Picozza, Francesca Tartarone
We introduce the concept of \textit{quasi-stable} ideal in an integral domain (a nonzero fractional ideal of is quasi-stable if it is flat in its endomorphism ring $(I…
Star-Invertibility and -finite character in Integral Domains
Carmelo Antonio Finocchiaro, Giampaolo Picozza, Francesca Tartarone
Let be an integral domain. We study new conditions on families of integral ideals of in order to get that is of -finite character (i.e., each nonzero element of …