Splitting Polynomials in Noncommutative Algebras

DOI10.1080/00927872.2011.602780zbMath1267.13045arXiv0712.3092OpenAlexW2053292001MaRDI QIDQ4909079

Tomasz Maszczyk

Publication date: 12 March 2013

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

Full work available at URL: https://arxiv.org/abs/0712.3092

zbMATH Keywords

rootsfactorization of polynomialsdeformationsdistributive law for monads

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Numerical computation of solutions to single equations (65H05) Deformations of general structures on manifolds (58H15) Algebraic systems of matrices (15A30) Polynomials, factorization in commutative rings (13P05) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Numerical computation of roots of polynomial equations (65H04)

Cites Work

• Noncommutative splitting fields
• Separate zeros and Galois extensions of skew fields
• Wedderburn polynomials over division rings. I.
• The quadratic algebras associated with pseudo-roots of noncommutative polynomials are Koszul algebras.
• Factorizations of polynomials over noncommutative algebras and sufficient sets of edges in directed graphs.
• Quadratic linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
• Unnamed Item

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