Automorphisms of the semigroup end(K[x1, …, xn])

A. Belov-Kanel, R. Lipyanski

Research output: Contribution to journalArticlepeer-review


We describe the group G = AutEnd(K[x1, …, xn]), where K is an arbitrary field. A similar result is obtained also for the automorphism group of the category CA° of finitely generated free commutative-associative algebras of the variety commutative algebras. This solves two problems posed by B. Plotkin ([4, Problems 12 and 15]).

Original languageEnglish
Pages (from-to)706-711
Number of pages6
JournalJournal of Mathematical Sciences
Issue number5
StatePublished - 1 Nov 2012

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Applied Mathematics


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