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Showing 2010 · math.ACShow all
3 papers · 2 filters
math.AC2010
An overring-theoretic approach to polynomial extensions of star and semistar operations
Gyu Whan Chang, Marco Fontana
Call a semistar operation on the polynomial domain an extension (respectively, a strict extension) of a semistar operation defined on an integral domain ,…
math.AC2010
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…
math.AC2010
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 …