Gröbner–Shirshov Bases for Extensions of Algebras

DOI10.1142/S1005386709000285zbMath1200.16032arXiv0804.0639MaRDI QIDQ3633826

Yuqun Chen

Publication date: 23 June 2009

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

Full work available at URL: https://arxiv.org/abs/0804.0639

zbMATH Keywords

algorithmsextensions of algebrasGröbner-Shirshov bases

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) 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) Computational aspects of associative rings (general theory) (16Z05) Extensions of associative rings by ideals (16S70)

Related Items

Unnamed Item ⋮ Gröbner–Shirshov basis method for multiple tensor products of some associative algebras ⋮ Gröbner–Shirshov bases and their calculation

Cites Work

• The diamond lemma for ring theory
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• On the cohomology groups of an associative algebra