2019/02/11 by Picavet, Gabriel, Picavet-L'Hermitte, Martine
#13 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1902.03946
We characterize extensions of commutative rings R ⊆ S whose sets of subextensions [R,S] are finite (\it i.e. R⊆ S has the FIP property) and are Boolean lattices, that we call Boolean FIP extensions. Some characterizations involve ``factorial" properties of the poset [R,S]. A non trivial result is that each subextension of a Boolean FIP extension is simple (i.e. R ⊆ S is a simple pair).