On conjugate product of complex polynomials

Ai Guo Wu; Guang Ren Duan; Gang Feng; Wanquan Liu

doi:10.1016/j.aml.2010.12.019

On conjugate product of complex polynomials

Ai Guo Wu^*
, Guang Ren Duan
, Gang Feng
, Wanquan Liu

^*Corresponding author for this work

School of Astronautics

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

6 Scopus citations

Abstract

Some concepts, such as divisibility, coprimeness, in the framework of ordinary polynomial product are extended to the framework of conjugate product. Euclidean algorithm for obtaining greatest common divisors in the framework of conjugate product is also established. Some criteria for coprimeness are established.

Original language	English
Pages (from-to)	735-741
Number of pages	7
Journal	Applied Mathematics Letters
Volume	24
Issue number	5
DOIs	https://doi.org/10.1016/j.aml.2010.12.019
State	Published - May 2011

Keywords

Conjugate product
Coprimeness
Euclidean division
Greatest common divisors

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10.1016/j.aml.2010.12.019

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title = "On conjugate product of complex polynomials",

abstract = "Some concepts, such as divisibility, coprimeness, in the framework of ordinary polynomial product are extended to the framework of conjugate product. Euclidean algorithm for obtaining greatest common divisors in the framework of conjugate product is also established. Some criteria for coprimeness are established.",

keywords = "Conjugate product, Coprimeness, Euclidean division, Greatest common divisors",

author = "Wu, \{Ai Guo\} and Duan, \{Guang Ren\} and Gang Feng and Wanquan Liu",

year = "2011",

month = may,

doi = "10.1016/j.aml.2010.12.019",

language = "英语",

volume = "24",

pages = "735--741",

journal = "Applied Mathematics Letters",

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T1 - On conjugate product of complex polynomials

AU - Wu, Ai Guo

AU - Duan, Guang Ren

AU - Feng, Gang

AU - Liu, Wanquan

PY - 2011/5

Y1 - 2011/5

N2 - Some concepts, such as divisibility, coprimeness, in the framework of ordinary polynomial product are extended to the framework of conjugate product. Euclidean algorithm for obtaining greatest common divisors in the framework of conjugate product is also established. Some criteria for coprimeness are established.

AB - Some concepts, such as divisibility, coprimeness, in the framework of ordinary polynomial product are extended to the framework of conjugate product. Euclidean algorithm for obtaining greatest common divisors in the framework of conjugate product is also established. Some criteria for coprimeness are established.

KW - Conjugate product

KW - Coprimeness

KW - Euclidean division

KW - Greatest common divisors

UR - https://www.scopus.com/pages/publications/79551502126

U2 - 10.1016/j.aml.2010.12.019

DO - 10.1016/j.aml.2010.12.019

M3 - 文章

AN - SCOPUS:79551502126

SN - 0893-9659

VL - 24

SP - 735

EP - 741

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

On conjugate product of complex polynomials

Abstract

Keywords

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