Local Artinian rings and the Fröberg relation

DOI10.1216/rmjm/1181071992zbMath0877.13017OpenAlexW2032058806MaRDI QIDQ1360202

Robert W. Fitzgerald

Publication date: 4 September 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL26-4/CONT26-4/CONT26-4.html

zbMATH Keywords

Poincaré seriesHilbert seriesWitt ringsArtinian local ringFröberg ring

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (3)

Homological criteria for minimal multiplicity ⋮ On the Regularity and Koszulness of Modules Over Local Rings ⋮ Bass Series for Small Witt Rings

Cites Work

• Unnamed Item
• Homology of Noetherian rings and local rings
• Poincaré series of short Artinian rings
• Rational dependence among Hilbert and Poincaré series
• A counterexample to a conjecture of Serre
• Pfister ideals in Witt rings
• Factoring out the socle of a Gorenstein ring
• Bettireihen von Faserprodukten lokaler Ringe
• Über die Bettizahlen lokaler Ringe
• A proof of the existence of minimal R-algebra resolutions
• Gorenstein Witt Rings
• An elementary note on group-rings.

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