Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals
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Publication:6602401
DOI10.1007/s00200-022-00584-1MaRDI QIDQ6602401
Eduardo Sáenz-de-Cabezón, Rodrigo Iglesias
Publication date: 11 September 2024
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Pommaret basesdiscrete Morse theorycellular resolutionsquasi-stable idealsPommaret-Seiler resolution
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40)
Cites Work
- The Eliahou-Kervaire resolution is cellular
- Cellular resolutions from mapping cones
- On the free resolution induced by a Pommaret basis
- Minimal resolutions of some monomial ideals
- The minimal free resolution of a Borel ideal
- Involution. The formal theory of differential equations and its applications in computer algebra
- A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases
- A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type
- A new explicit finite free resolution of ideals generated by monomials in an R-sequence
- Squarefree lexsegment ideals
- Morse theory for cell complexes
- Involutive bases of polynomial ideals
- Minimal involutive bases
- Les modules de formes algébriques et la théorie générale des systèmes différentielles.
- Resolutions by mapping cones
- Janet's approach to presentations and resolutions for polynomials and linear PDEs
- Resolutions of \textbf{a}-stable ideals.
- Resolutions obtained by iterated mapping cones
- Toward involutive bases over effective rings
- The close relation between border and Pommaret marked bases
- Morse resolutions of powers of square-free monomial ideals of projective dimension one
- Minimal cellular resolutions of the edge ideals of forests
- Combinatorial decompositions for monomial ideals
- Cellular structure for the Herzog-Takayama resolution
- Pruned cellular free resolutions of monomial ideals
- Saturation and Castelnuovo-Mumford regularity
- Discrete Morse theory for cellular resolutions
- Quasi-stability versus Genericity
- Characteristic-free bounds for the Castelnuovo–Mumford regularity
- Minimal resolutions via algebraic discrete Morse theory
- Some Remarks on Borel Type Ideals
- Cellular resolutions of monomial modules
- Using Algebraic Geometry
- Overdetermined systems of linear partial differential equations
- Morse theory from an algebraic viewpoint
- Monomial resolutions
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