Some criteria for detecting large homomorphisms of local rings

DOI10.1080/00927872.2021.1899194zbMath1471.13027arXiv1903.03900OpenAlexW3138523880MaRDI QIDQ5153809

Mohsen Gheibi, Ryo Takahashi

Publication date: 1 October 2021

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

Full work available at URL: https://arxiv.org/abs/1903.03900

zbMATH Keywords

Poincaré seriesKoszul homologyGolod homomorphismsmall homomorphismGolod ringKoszul modulelarge homomorphism

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

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• Quasi-complete intersection homomorphisms
• Ascent and descent of the Golod property along algebra retracts
• Cohomology over fiber products of local rings
• Local rings and Golod homomorphisms
• Small homomorphisms of local rings
• Factoring out the socle of a Gorenstein ring
• Totally reflexive modules and Poincaré series
• The Golod property for powers of ideals and Koszul ideals
• Stable cohomology over local rings
• Free resolutions over short Gorenstein local rings
• Poincaré series of modules over compressed Gorenstein local rings
• Koszul modules
• Connected sums of Gorenstein local rings
• Large homomorphisms of local rings.
• Homological properties of powers of the maximal ideal of a local ring

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