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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Rudnicki, Piotr | - |
| dc.date.accessioned | 2026-11-09T08:34:07Z | - |
| dc.date.available | 2026-11-09T08:34:07Z | - |
| dc.date.issued | 2004 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 12, Issue 1, Pages 49-58 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21464 | - |
| dc.description.abstract | We present a formalization of the factor theorem for univariate polynomials, also called the (little) Bezout theorem: Let r belong to a commutative ring L and p(x) be a polynomial over L. Then x−r divides p(x) iff p(r) = 0. We also prove some consequences of this theorem like that any non zero polynomial of degree n over an algebraically closed integral domain has n (non necessarily distinct) roots. | pl |
| dc.description.sponsorship | This work has been supported by NSERC Grant OGP9207. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | CC BY-SA 4.0 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | Little Bezout Theorem (Factor Theorem) | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2005 University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.description.Affiliation | University of Alberta, Edmonton | pl |
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| dc.description.volume | 12 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 49 | pl |
| dc.description.lastpage | 58 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2004, Volume 12, Issue 1 | |
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|---|---|---|---|---|
| Little_Bezout_Theorem.pdf | 118,98 kB | Adobe PDF | Otwórz |
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