2006/03/06 by Stefania Gabelli, Gabelli, Stefania, Giampaolo Picozza +1
Mathematics · #13A15 #13F05 #13G05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A15 #msc:13F05 #msc:13G05
paper · pdf · doi:10.48550/arxiv.math/0603147
21 pages. J. Pure Appl. Algebra, to appear
arxiv created 2006/03/06 · arxiv updated 2009/12/01
We introduce and study the notion of ⋆-stability with respect to a semistar operation ⋆ defined on a domain R; in particular we consider the case where ⋆ is the w-operation. This notion allows us to generalize and improve several properties of stable domains and totally divisorial domains.