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Hilbert series and non-associative Gröbner bases

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Publication:1593642
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zbMath0961.17002MaRDI QIDQ1593642

Lothar Gerritzen

Publication date: 30 May 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)


zbMATH Keywords

Gröbner basisHilbert serieshomogeneous idealfree non-associative algebragraded algebraadmissible ordergrading of finite type


Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings and modules (associative rings and algebras) (16W50) Free nonassociative algebras (17A50)


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Enumeration of algebras close to absolutely free algebras and binary trees ⋮ Nonassociative exponential and logarithm. ⋮ Tree polynomials and non-associative Gröbner bases ⋮ Non-associative Gröbner bases ⋮ Constants of formal derivatives of non-associative algebras, Taylor expansions and applications



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