Lifting Gröbner Bases from the Exterior Algebra

DOI10.1081/AGB-120024850zbMath1047.16014arXivmath/0010117OpenAlexW3106520256MaRDI QIDQ4435154

Andreas Nilsson, Jan Snellman

Publication date: 26 November 2003

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

Full work available at URL: https://arxiv.org/abs/math/0010117

zbMATH Keywords

tensor algebrasGröbner basesfree associative algebrasgeneric initial idealsexterior algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04) Exterior algebra, Grassmann algebras (15A75)

Cites Work

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• A graded algebra with a non-rational Hilbert series
• Boolean term orders and the root system \(B_n\)
• Gotzmann theorems for exterior algebras and combinatorics
• Non-commutative Gröbner bases for commutative algebras