Extending the idea of compressed algebra to arbitrary socle-vectors.

DOI10.1016/S0021-8693(03)00365-XzbMath1102.13022arXivmath/0411562MaRDI QIDQ1419007

Fabrizio Zanello

Publication date: 14 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0411562

zbMATH Keywords

artinian algebracompressed algebra

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02) Rings of fractions and localization for commutative rings (13B30)

Related Items

Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence ⋮ Theh-Vector of a Relatively Compressed Level Algebra ⋮ Improving the bounds of the multiplicity conjecture: The codimension 3 level case ⋮ On the weak Lefschetz property for artinian Gorenstein algebras of codimension three ⋮ Minimal resolution of relatively compressed level algebras ⋮ Exact pairs of homogeneous zero divisors ⋮ Bounds and asymptotic minimal growth for Gorenstein Hilbert functions ⋮ Level Algebras of Type 2

Cites Work

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• Hilbert functions of graded algebras
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• Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Level Algebras, Lex Segments, and Minimal Hilbert Functions
• Hilbert functions and level algebras