A Special Case of Rational Identity Testing and the Brešar-Klep Theorem.

DOI10.4230/LIPIcs.MFCS.2020.10OpenAlexW3082876978MaRDI QIDQ5089170

Abhranil Chatterjee, Rajit Datta, V. Arvind, Partha Mukhopadhyay

Publication date: 18 July 2022

Full work available at URL: https://doi.org/10.4230/LIPIcs.MFCS.2020.10

zbMATH Keywords

Amitsur's theoremABP with inversesBrešar-Klep theoreminvertible imagerational identity testing

Mathematics Subject Classification ID

Theory of computing (68Qxx)

Cites Work

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• Polynomial degree bounds for matrix semi-invariants
• New results on noncommutative and commutative polynomial identity testing
• Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze.
• Constructive non-commutative rank computation is in deterministic polynomial time
• Deterministic polynomial identity testing in non-commutative models
• Rational identities and applications to algebra and geometry
• The Removal of Weighted ε-Transitions
• On the definition of a family of automata
• Minimal Identities for Algebras
• Efficient Black-Box Identity Testing for Free Group Algebras
• Functional analysis

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