2022/07/15 by Spirito, Dario
#Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2207.07366
We introduce and study the set of radical stable operations of an integral domain D. We show that their set is a complete lattice that is the join-completion of the set of spectral semistar operations, and we characterize when every radical operation is spectral (under the hypothesis that D is rad-colon coherent). When D is a Prüfer domain such that every set of minimal prime ideals is scattered, we completely classify stable semistar operations.