On the topological structure of the (non-)finitely generated locus of Frobenius algebras emerging from Stanley–Reisner rings

DOI10.1080/00927872.2022.2099885OpenAlexW3161434874MaRDI QIDQ5872641

Juan P. Hernandez-Rodas, Edisson Gallego, Sergio D. Molina, Danny Arlen de Jesús Gómez-Ramírez, Juan Diego Vélez

Publication date: 2 January 2023

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

Full work available at URL: https://arxiv.org/abs/2105.04782

zbMATH Keywords

Frobenius algebrasStanley-Reisner rings(non-)finitely generated locus

Mathematics Subject Classification ID

Complete rings, completion (13J10) Theory of modules and ideals in commutative rings (13C99) General and miscellaneous (16B99)

Cites Work

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• Big tight closure test elements for some non-reduced excellent rings
• Frobenius algebras. I: Basic representation theory.
• Frobenius and Cartier algebras of Stanley-Reisner rings
• On the commutation of the test ideal with localization and completion
• Parameter-test-ideals of Cohen–Macaulay rings
• A non-finitely generated algebra of Frobenius maps
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• On the Frobenius complexity of Stanley–Reisner rings

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