Frobenius and Cartier algebras of Stanley-Reisner rings

Details Frobenius and Cartier algebras of Stanley-Reisner rings Frobenius and Cartier algebras of Stanley-Reisner rings

2011-06-28

arxiv.org/abs/1106.5686v1

Mathematics

Commutative Algebra

16 pages

Scientific paper

We prove that the Frobenius algebra of the injective hull of a complete
Stanley-Reisner ring as well as its Matlis dual notion of Cartier algebra can
be only principally generated or infinitely generated. As a consequence we are
able to show that the set of F-jumping numbers of generalized test ideals
associated to complete Stanley-Reisner rings form a discrete set.

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