Addendum to "Frobenius and Cartier algebras of Stanley-Reisner rings" [J. Algebra 358 (2012) 162-177]
Josep Alvarez Montaner, Kohji Yanagawa
TL;DR
This paper provides a combinatorial characterization of when Stanley-Reisner rings have finitely generated Cartier algebras, focusing on the case of complete rings.
Contribution
It offers a purely combinatorial criterion for identifying complete Stanley-Reisner rings with principally generated Cartier algebras.
Findings
Complete Stanley-Reisner rings with finitely generated Cartier algebras are characterized combinatorially.
The paper extends previous results by providing a new criterion for principal generation.
It simplifies the understanding of Cartier algebra generation in Stanley-Reisner rings.
Abstract
We give a purely combinatorial characterization of complete Stanley-Reisner rings having principally generated (equivalently, finitely generated) Cartier algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Topics in Algebra