A factorization algorithm for \(G\)-algebras and its applications

DOI10.1016/j.jsc.2017.06.005zbMath1387.13060OpenAlexW4207022083MaRDI QIDQ2409016

Albert Heinle, Viktor Levandovskyy

Publication date: 10 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jsc.2017.06.005

zbMATH Keywords

Gröbner basisfactorizationnoncommutative algebra\(G\)-algebraalgebra of solvable typefactorized Groebner basisfactorizing Groebner basisnoncommutative factorizationnoncommutative Groebner basisPBW algebra

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials, factorization in commutative rings (13P05)

Related Items (2)

On the factorization of non-commutative polynomials (in free associative algebras) ⋮ Constructive arithmetics in Ore localizations of domains

Uses Software

• Plural
• REDUCE
• SINGULAR
• CALI
• ncfactor.lib
• fgbg.lib

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