The Auslander-Reiten translate on monomial rings
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Publication:610698
DOI10.1016/j.aim.2010.07.006zbMath1277.13010arXiv0802.2772OpenAlexW1503273477MaRDI QIDQ610698
Publication date: 10 December 2010
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.2772
posetsAlexander dualitylocal cohomologyStanley-Reisner ringsmonomial idealsAuslander-Reiten translateBetti spacesNakayama functorpositively determined modules
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)
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Cites Work
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- The canonical module of a Stanley-Reisner ring
- Enriched homology and cohomology modules of simplicial complexes
- Resolutions of Stanley-Reisner rings and Alexander duality
- The Alexander duality functors and local duality with monomial support
- Derived category of squarefree modules and local cohomology with monomial ideal support
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- Homotopy colimits - comparison lemmas for combinatorial applications
- Combinatorial Commutative Algebra
- Generalized Alexander duality and applications