Introduces the ideal class group Cl(A,B) of a ring extension A ⊆ B as the kernel of the Picard group map induced by base change, recovering classical class groups and Picard groups as special cases.
Singh, The Picard group and subintegrality in positive characteristic, Compos
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Ideal class group of an extension of rings and Picard group
Introduces the ideal class group Cl(A,B) of a ring extension A ⊆ B as the kernel of the Picard group map induced by base change, recovering classical class groups and Picard groups as special cases.