Closed polynomials and saturated subalgebras of polynomial algebras
The behavior of closed polynomials, i.e., polynomials f∈k[x₁,…,xn]∖k such that the subalgebra k[f] is integrally closed in k[x₁,…,xn], is studied under extensions of the ground field. Using some properties of closed polynomials, we prove that, after shifting by constants, every polynomial f∈k[x₁,…,x...
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| Veröffentlicht in: | Український математичний журнал |
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| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2007
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| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/172514 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Closed polynomials and saturated subalgebras of polynomial algebras / I.V. Arzhantsev, A.P. Petravchuk // Український математичний журнал. — 2007. — Т. 59, № 12. — С. 1587–1593. — Бібліогр.: 15 назв. — англ. |