A Factorization Theory for some Free Fields

zbMath1475.16026arXiv1712.09102MaRDI QIDQ5122651

Konrad Schrempf

Publication date: 23 September 2020

Full work available at URL: https://arxiv.org/abs/1712.09102

zbMATH Keywords

free associative algebranon-commutative formal power seriesuniversal field of fractionsadmissible linear systemminimal linear representationfactorization of non-commutative polynomials

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Infinite-dimensional and general division rings (16K40) Computational aspects of associative rings (general theory) (16Z05) Representation theory of associative rings and algebras (16G99)

Related Items (1)

A standard form in (some) free fields: how to construct minimal linear representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization theory: from commutative to noncommutative settings.
• Factorization of matrix and operator functions. The state space method
• Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting
• Geometry of free loci and factorization of noncommutative polynomials
• On the factorization of non-commutative polynomials (in free associative algebras)
• Factorizations of Elements in Noncommutative Rings: A Survey
• Advanced Graph Theory and Combinatorics
• Michel Fliess and non-commutative formal power series†
• A Normal Form in Free Fields
• ON THE CONSTRUCTION OF THE FREE FIELD
• Linearizing the word problem in (some) free fields
• Ideals, Varieties, and Algorithms
• Noncommutative Unique Factorization Domains

This page was built for publication: A Factorization Theory for some Free Fields