Frobenius and Cartier algebras of Stanley-Reisner rings

DOI10.1016/j.jalgebra.2012.03.006zbMath1253.13007arXiv1106.5686OpenAlexW2964309915MaRDI QIDQ1758536

Josep Àlvarez Montaner, Alberto Fernandez Boix, Santiago Zarzuela Armengou

Publication date: 9 November 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5686

zbMATH Keywords

Frobenius algebrasStanley-Reisner ringscartier algebras

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Commutative rings of differential operators and their modules (13N10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (15)

The Frobenius complexity of a local ring of prime characteristic ⋮ The Frobenius exponent of Cartier subalgebras ⋮ The Cartier core map for Cartier algebras ⋮ Complexity of gauge bounded Cartier algebras ⋮ On the Frobenius complexity of Stanley–Reisner rings ⋮ A Koszul complex over skew polynomial rings ⋮ \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings ⋮ \(F\)-invariants of Stanley-Reisner rings ⋮ The Frobenius complexity of Hibi rings ⋮ Strong test ideals associated to Cartier algebras ⋮ Addendum to ``Frobenius and Cartier algebras of Stanley-Reisner rings ⋮ Frobenius and Cartier algebras of Stanley-Reisner rings. II ⋮ Generating functions associated to Frobenius algebras ⋮ On the topological structure of the (non-)finitely generated locus of Frobenius algebras emerging from Stanley–Reisner rings ⋮ Rings of Frobenius operators

Uses Software

• CoCoA

Cites Work

• Unnamed Item
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