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dc.contributor.author |
Chapovsky, E. |
|
dc.contributor.author |
Shevchyk, O. |
|
dc.date.accessioned |
2019-06-18T10:24:34Z |
|
dc.date.available |
2019-06-18T10:24:34Z |
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dc.date.issued |
2017 |
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dc.identifier.citation |
On divergence and sums of derivations / E. Chapovsky, O. Shevchyk // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 99-105. — Бібліогр.: 5 назв. — англ. |
uk_UA |
dc.identifier.issn |
1726-3255 |
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dc.identifier.other |
2010 MSC:Primary 13N15; Secondary 13A99, 17B66. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/156256 |
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dc.description.abstract |
Let K be an algebraically closed field of characteristic zero and A a field of algebraic functions in n variables over K. (i.e. A is a finite dimensional algebraic extension of the field K(x1,…,xn) ). If D is a K-derivation of A, then its divergence divD is an important geometric characteristic of D (D can be considered as a vector field with coefficients in A). A relation between expressions of divD in different transcendence bases of A is pointed out. It is also proved that every divergence-free derivation D on the polynomial ring K[x,y,z] is a sum of at most two jacobian derivation. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут прикладної математики і механіки НАН України |
uk_UA |
dc.relation.ispartof |
Algebra and Discrete Mathematics |
|
dc.title |
On divergence and sums of derivations |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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