Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem

E. I. Shustin

doi:10.1080/00927879508825271

Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem

E. I. Shustin^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let K be an algebraically closed field of characteristic zero or a real closed field. We prove that over the field K every polynomial in one variable of degree mn is the resultant of two polynomials in two variables of degrees m and n.

Original language	English
Pages (from-to)	1145-1163
Number of pages	19
Journal	Communications in Algebra
Volume	23
Issue number	3
DOIs	https://doi.org/10.1080/00927879508825271
State	Published - Jan 1995

Access to Document

10.1080/00927879508825271

Cite this

@article{086017efcf044935b5f5a390acf0c431,

title = "Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem",

abstract = "Let K be an algebraically closed field of characteristic zero or a real closed field. We prove that over the field K every polynomial in one variable of degree mn is the resultant of two polynomials in two variables of degrees m and n.",

author = "Shustin, {E. I.}",

year = "1995",

month = jan,

doi = "10.1080/00927879508825271",

language = "אנגלית",

volume = "23",

pages = "1145--1163",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - Surjectivity of the Resultant Map

T2 - A Solution to the Inverse Bezout Problem

AU - Shustin, E. I.

PY - 1995/1

Y1 - 1995/1

N2 - Let K be an algebraically closed field of characteristic zero or a real closed field. We prove that over the field K every polynomial in one variable of degree mn is the resultant of two polynomials in two variables of degrees m and n.

AB - Let K be an algebraically closed field of characteristic zero or a real closed field. We prove that over the field K every polynomial in one variable of degree mn is the resultant of two polynomials in two variables of degrees m and n.

UR - http://www.scopus.com/inward/record.url?scp=21844507308&partnerID=8YFLogxK

U2 - 10.1080/00927879508825271

DO - 10.1080/00927879508825271

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:21844507308

SN - 0092-7872

VL - 23

SP - 1145

EP - 1163

JO - Communications in Algebra

JF - Communications in Algebra

IS - 3

ER -

Surjectivity of the Resultant Map: A Solution to the Inverse Bezout Problem

Abstract

Access to Document

Other files and links

Fingerprint

Cite this