Rings with monomial relations having linear resolutions

DOI10.1016/0022-4049(85)90011-8zbMath0573.13012OpenAlexW2019239055MaRDI QIDQ1063072

Ralf Fröberg

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90011-8

zbMATH Keywords

syzygiesKoszul complexCohen-Macaulaylinear resolutionface ringhomology of simplicial complexring with monomial relations

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Singular homology and cohomology theory (55N10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (13)

Algebraic invariants for right-angled Artin groups. ⋮ Unnamed Item ⋮ Segre products and rees algebras of face rings ⋮ Buchsbaum Stanley–Reisner rings with minimal multiplicity ⋮ (Bi-)Cohen–Macaulay Simplicial Complexes and Their Associated Coherent Sheaves ⋮ Pure and Cohen–Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals ⋮ Syzygies, degrees, and choices from a life in mathematics. Retiring Presidential Address ⋮ A criterion for a monomial ideal to have a linear resolution in characteristic 2 ⋮ Universally Koszul algebras defined by graphs ⋮ Buchsbaum Stanley–Reisner Rings and Cohen–Macaulay Covers ⋮ Chordality of clutters with vertex decomposable dual and ascent of clutters ⋮ Some algebraic properties of hypergraphs ⋮ Resolutions of Stanley-Reisner rings and Alexander duality

Cites Work

• Cohen-Macaulay quotients of polynomial rings
• A study of graded extremal rings and of monominal rings.
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