Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4578
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chapovsky, E. | - |
dc.contributor.author | Shevchyk, O. | - |
dc.date.accessioned | 2019-12-19T11:04:46Z | - |
dc.date.available | 2019-12-19T11:04:46Z | - |
dc.date.issued | 2017 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/4578 | - |
dc.description | Chapovsky E. On divergence and sums of derivations / E.Chapovsky O.Shevchyk // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 1. - Рp. 99-105 | uk_UA |
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 canbe 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 | ДЗ"ЛНУ імені Тараса Шевченко" | uk_UA |
dc.relation.ispartofseries | Математичні науки; | - |
dc.subject | polynomial ring | uk_UA |
dc.subject | derivation | uk_UA |
dc.subject | divergence | uk_UA |
dc.subject | jacobian derivation | uk_UA |
dc.subject | transcendence basis | uk_UA |
dc.title | On divergence and sums of derivations | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (24). - 2017 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
354-1799-1-PB.pdf | 288.92 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.