A note on monomial ideals which are Cohen–Macaulay in a fixed codimension
DOI10.1080/00927872.2022.2079663OpenAlexW4283259730MaRDI QIDQ5097428
Kosuke Shibata, Naoki Terai, M. R. Pournaki, Siamak Yassemi
Publication date: 23 August 2022
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2022.2079663
Cohen-Macaulay ringCohen-Macaulay simplicial complexsimplicial complexgeneralized Cohen-Macaulay ring\(CM_t\) simplicial complexgeneralized Cohen-Macaulay simplicial complex
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)
Cites Work
- Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
- Face rings of simplicial complexes with singularities
- Cohen-Macaulayness of large powers of Stanley-Reisner ideals
- A generalization of \(k\)-Cohen-Macaulay simplicial complexes
- Simplicial join via tensor product
- On the number of faces of simplicial complexes and the purity of Frobenius
- Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
- Cohen-Macaulay quotients of polynomial rings
- The Alexander duality functors and local duality with monomial support
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- Locally complete intersection Stanley-Reisner ideals
- On the radical of a monomial ideal
- Sliding Functor and Polarization Functor for Multigraded Modules
