A generalization of Gröbner basis algorithms to nilpotent group rings

DOI10.1007/s002000050056zbMath0877.16012OpenAlexW2074122093MaRDI QIDQ677557

Birgit Reinert, Klaus Madlener

Publication date: 27 November 1997

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000050056

zbMATH Keywords

normal formsright idealssets of generatorsconfluent semi-Thue systemsgroup rings of finitely generated nilpotent groupsnoncommutative generalizations of Gröbner bases methodsright quasicommutative reductionstwo-sided ideals in group rings

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals in associative algebras (16D25)

Related Items (2)

Gröbner bases in function rings -- a guide for introducing reduction relations to algebraic structures ⋮ Relating rewriting techniques on monoids and rings: congruences on monoids and ideals in monoid rings

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