Deriving some properties of Stanley-Reisner rings from their squarefree zero-divisor graphs

DOI10.24330/ieja.1058421zbMath1489.13009OpenAlexW4205275375MaRDI QIDQ5034890

Ashkan Nikseresht

Publication date: 21 February 2022

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24330/ieja.1058421

zbMATH Keywords

Cohen-Macaulay ringsimplicial complexlinear resolutionsquarefree monomial idealsquarefree zerodivisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of commutative algebra (05E40) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)

Cites Work

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