dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Álvarez Montaner, Josep
dc.contributor.author
Boix, Alberto F.
dc.contributor.author
Zarzuela Armengou, Santiago
dc.identifier
https://hdl.handle.net/2117/13372
dc.description.abstract
We study the generation of the Frobenius algebra of
the injective hull of a complete Stanley-Reisner ring over a
field with positive characteristic. In particular, by extending
the ideas used by M. Katzman to give a counterexample to a
question raised by G. Lyubeznik and K. E. Smith about the
finite generation of Frobenius algebras, we prove that the
Frobenius algebra of the injective hull of a complete
Stanley-Reisner ring can be only principally generated or
infinitely generated. Also, by using our explicit description
of the generators of such algebra and applying the recent work
by M. Blickle about Cartier algebras and generalized test
ideals, 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 subset inside the
non-negative real numbers
dc.description.abstract
Preprint
dc.format
application/pdf
dc.relation
[prepr201106AlvBZ]
dc.relation
http://www.ma1.upc.edu/recerca/preprints2011.html
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject
Frobenius algebras
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Rings (Algebra)
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Stanley-Reisner rings
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Frobenius algebras
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Cartier algebras
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Anells (Àlgebra)
dc.title
Frobenius and Cartier algebras of Stanley-Reisner rings
dc.type
External research report
