On the equivalence of fsf and weakly Laskerian classes

Details On the equivalence of fsf and weakly Laskerian classes On the equivalence of fsf and weakly Laskerian classes

2011-08-23

arxiv.org/abs/1108.4564v1

Mathematics

Commutative Algebra

8 pages

Scientific paper

It is proved that, over a Noetherian ring R, the class of weakly Laskerian
and FSF modules are the same classes. By using this characterization we proved
that the property of being weakly Laskerian descends by finite integral
extensions of local ring homomorphisms and ascends by tensoring under the
completion.

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