scientific article; zbMATH DE number 1166302
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Publication:4396605
zbMath0903.16018MaRDI QIDQ4396605
Publication date: 5 January 1999
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algorithmssystems of generatorssyzygy modulesmonomial relationsfinite Gröbner basesfinitely generated one-sided ideals
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)
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Finitely presented nilsemigroups: complexes with the property of uniform ellipticity ⋮ Finite Gröbner basis algebras with unsolvable nilpotency problem and zero divisors problem ⋮ A semigroup of paths on a sequence of uniformly elliptic complexes ⋮ Graded coherence of certain extensions of graded algebras ⋮ Coherent algebras and noncommutative projective lines. ⋮ Linear equations over noncommutative graded rings.
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