On the Denominator of the Poincaré Series for Monomial Quotient Rings

DOI10.1080/00927870701451367zbMath1154.13303arXivmath/0412295OpenAlexW2952348408MaRDI QIDQ5423810

Hara Charalambous

Publication date: 31 October 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412295

zbMATH Keywords

monomial idealhomotopy Lie algebrarationalGolod ringLCM latticePoincare seriesMassey operationsgeneric idealAcyclic closureGCD graphKoszul homotopymultigraded series

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded Lie (super)algebras (17B70) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (1)

Poincaré series of monomial rings

Cites Work

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• Free resolutions and change of rings
• Homotopy Lie algebras and Poincaré series of algebras with monomial relations
• Infinite monomial resolutions
• Poincare series and resolutions of the residue field over monomial rings

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