Automorphisms of the semigroup End(K[x 1 , . . . , x n ]) Academic Article uri icon

abstract

  • We describe the group G = AutEnd(K[x 1, . . . , x n ]), where K is an arbitrary field. A similar result is obtained also for the automorphism group of the category $ \mathcal{C}{\mathcal{A}^{\circ }} $ 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]).

publication date

  • November 1, 2012