On recognisable properties of associative algebras

DOI10.1016/S0747-7171(88)80054-3zbMath0663.68045OpenAlexW2061673670MaRDI QIDQ1115181

Tatiana Gateva-Ivanova, Victor N. Latyshev

Publication date: 1988

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0747-7171(88)80054-3

zbMATH Keywords

Gröbner basismonomial algebrasrecognizable propertiess.f.p. algebrasstandard finitely presented algebras

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite rings and finite-dimensional associative algebras (16P10) Computational aspects of associative rings (general theory) (16Z05)

Related Items (14)

Finitely presented nilsemigroups: complexes with the property of uniform ellipticity ⋮ An introduction to commutative and noncommutative Gröbner bases ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Recognizing the Semiprimitivity of ℕ-graded Algebras via Gröbner Bases ⋮ GROWTH OF FINITELY PRESENTED REES QUOTIENTS OF FREE INVERSE SEMIGROUPS ⋮ Viktor Nikolaevich Latyshev (on the occasion of his 70th birthday) ⋮ Finite Gröbner basis algebra with unsolvable problem of zero divisors ⋮ Gröbner–Shirshov bases of the Lie algebra $D^{+}_{n}$ ⋮ Standard Gröbner-Shirshov Bases of Free Algebras Over Rings, I ⋮ PROPERTIES OF COMMUTATIVE ASSOCIATION SCHEMES DERIVED BY FGLM TECHNIQUES ⋮ On the Noetherianity of some associative finitely presented algebras ⋮ Monomial algebras ⋮ On radicals of monomial algebras ⋮ Algebra. Dedicated to the seventieth birthday of Professor Viktor Nikolaevich Latyshev. Part 1. Transl. from the Russian

Cites Work

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• Systems of generators of T-ideals of finitely generated free algebras
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• The diamond lemma for ring theory
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Gesetze in Ringen. I

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