Two-sided noncommutative Gröbner basis on quiver algebras

DOI10.1007/978-3-031-32009-5_30arXiv2306.06457OpenAlexW4380551833MaRDI QIDQ6119365

Damian Maingi, Daniel K. Waweru

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.06457

zbMATH Keywords

quiver algebrastwo-sided idealstwo-sided division algorithmtwo-sided noncommutative Gröbner basis

Mathematics Subject Classification ID

Ideals in associative algebras (16D25) Computational aspects of associative rings (general theory) (16Z05) Gröbner-Shirshov bases (16Z10)

Cites Work

• The diamond lemma for ring theory
• Gröbner finite path algebras.
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Quivers of monoids with basic algebras
• Synergy in the Theories of Gröbner Bases and Path Algebras
• Noncommutative Gröbner Bases over Rings
• On the finiteness of Gröbner bases computation in quotients of the free algebra.
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