Перегляд Український математичний журнал за автором "Petravchuk, A.P."

Результати 1-2 з 2

Closed polynomials and saturated subalgebras of polynomial algebras

Arzhantsev, I.V.; Petravchuk, A.P. (Український математичний журнал, 2007)

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 ...
Finite-dimensional subalgebras in polynomial Lie algebras of rank one

Arzhantsev, I.V.; Makedonskii, E.A.; Petravchuk, A.P. (Український математичний журнал, 2011)

Let Wn(K) be the Lie algebra of derivations of the polynomial algebra K[X] := K[x1, . . . , xn] over an algebraically closed field K of characteristic zero. A subalgebra L ⊆ Wn(K) is called polynomial if it is a submodule ...

Результати 1-2 з 2

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