2025/08/27 by Tarizadeh, Abolfazl
#11R29 #13B02 #13C10 #14C20 #14C22 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2508.19889
For any extension of commutative rings A⊆ B we first naturally define a group \Cl(A,B), that we call the ideal class group of this extension (we will see that both the classical ideal class group and, surprisingly, the Picard group are special cases of this structure), then, as a first main result, we obtain the following exact sequence of Abelian groups: ...