Maps on Divisor Class Groups Induced by Ring Homomorphisms of Finite Flat Dimension

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Let f: A\to B be a ring homomorphism between Noetherian normal integral domains. We establish a general criterion for f to induce a homomorphism Cl(f): Cl(A)\to Cl(B) on divisor class groups. For instance, this criterion applies whenever f has finite flat dimension; this special case generalizes the more classical situations where f is flat or is surjective with kernel generated by an A-regular element. We extend some of Spiroff's work on the kernels of induced maps to this more general setting.
17 pages, uses xypic; v4 contains minor changes; final version to appear in Journal of Commutative Algebra

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Commutative Algebra, 13C20 (Primary) 13B22, 13F40 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/231191

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2810
 http://arxiv.org/abs/0810.2810

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arXiv