Semidualizing modules and the divisor class group

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Among the finitely generated modules over a Noetherian ring R, the semidualizing modules have been singled out due to their particularly nice duality properties. When R is a normal domain, we exhibit a natural inclusion of the set of isomorphism classes of semidualizing R-modules into the divisor class group of R. After a description of the basic properties of this inclusion, it is employed to investigate the structure of the set of isomorphism classes of semidualizing R-modules. In particular, this set is described completely for determinantal rings over normal domains.
30 pages, uses XY-pic and amsart; final version for publication in Illinois J. Math. Griffith volume; extensively rewritten after referee's comments

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Commutative Algebra, Rings and Algebras, Primary 13C05, 13C13, 13C20; Secondary 13C40, 13D05, 13D25

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http://salesiana.dossiersoluciones.com/handle/123456789/120281

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408399
 http://arxiv.org/abs/math/0408399

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arXiv