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Invertibility of endomorphisms of free associative algebras

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Publication:1814581
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DOI10.1007/BF01158224zbMath0739.16011MaRDI QIDQ1814581

A. V. Yagzhev

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

endomorphismspolynomial ringmatricesfinite-dimensional algebrafree associative algebrarationally invertible


Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)


Related Items

The Jacobian Conjecture, Together with Specht and Burnside-Type Problems



Cites Work

  • Keller's problem
  • The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
  • A jacobian conjecture for free associative algebras
  • Ganze Cremona-Transformationen
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