scientific article; zbMATH DE number 1241626

zbMath0927.16044MaRDI QIDQ4225062

Klaus Madlener, Birgit Reinert

Publication date: 26 October 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Gröbner basessymbolic computationgroup ringsmonoid ringscontext-free groupsstring rewriting systemsreduction ringsfinite convergent presentations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Semigroup rings, multiplicative semigroups of rings (20M25) Computational aspects of associative rings (general theory) (16Z05)

Related Items (9)

Buchberger-Weispfenning theory for effective associative rings ⋮ Reduction relations for monoid semirings ⋮ A Characterization of Perfect Strategies for Mirror Games ⋮ Noncommutative nullstellensätze and perfect games ⋮ Gröbner basis cryptosystems ⋮ Gröbner bases in function rings -- a guide for introducing reduction relations to algebraic structures ⋮ A general framework for Noetherian well ordered polynomial reductions ⋮ Flat families by strongly stable ideals and a generalization of Gröbner bases ⋮ Relating rewriting techniques on monoids and rings: congruences on monoids and ideals in monoid rings

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