Extremal Betti numbers of symbolic powers of two-dimensional squarefree monomial ideals

DOI10.1142/S0218196722500448zbMath1490.13032OpenAlexW4229373036MaRDI QIDQ5084303

Nguyên Công Minh, Nguyen Quang Loc, Phan Thi Thuy

Publication date: 24 June 2022

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

Full work available at URL: https://doi.org/10.1142/s0218196722500448

zbMATH Keywords

monomial idealsymbolic powerMoore graphlevel ringextremal Betti numberpseudo-Gorenstein ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohen-Macaulay modules (13C14) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• Macaulay2

Cites Work

• Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals
• Linear free resolutions and minimal multiplicity
• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
• Combinatorics and commutative algebra.
• Extremal Betti numbers and applications to monomial ideals
• Level property of ordinary and symbolic powers of Stanley-Reisner ideals
• Pseudo-Gorenstein and level Hibi rings
• On Moore Graphs with Diameters 2 and 3
• Monomial Algebras
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