TY - JOUR
T1 - Automorphisms of the semigroup end(K[x1, …, xn])
AU - Belov-Kanel, A.
AU - Lipyanski, R.
N1 - Publisher Copyright:
© 2012 Springer Science+Business Media New York.
PY - 2012/11/1
Y1 - 2012/11/1
N2 - 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]).
AB - 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]).
UR - http://www.scopus.com/inward/record.url?scp=84866657448&partnerID=8YFLogxK
U2 - 10.1007/s10958-012-1018-6
DO - 10.1007/s10958-012-1018-6
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AN - SCOPUS:84866657448
SN - 1072-3374
VL - 186
SP - 706
EP - 711
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 5
ER -