Abstract

In [13] S. Yuan introduced the so-called reflexive class group of an integrally closed noetherian domain, which is isomorphic to the usual class group. This construction was generalized afterwards by M. Orzech to arbitrary Krull domains, cf. [7]. On the other hand in [10] the author studied the relative Picard group with respect to an arbitrary idempotent kernel functor a. In this note we show that if a is the idempotent kernel functor associated to the prime ideals of height one, then both notions coincide. Some easy applications are included.

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