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

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

6 Citations (Scopus)

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. © 2011 Elsevier Ltd. All rights reserved.

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

Research Keywords

Conjugate product
Coprimeness
Euclidean division
Greatest common divisors

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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. {\textcopyright} 2011 Elsevier Ltd. All rights reserved.",

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

author = "Ai-Guo Wu and Guang-Ren Duan and Gang Feng and Wanquan Liu",

year = "2011",

month = may,

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

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TY - JOUR

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. © 2011 Elsevier Ltd. All rights reserved.

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. © 2011 Elsevier Ltd. All rights reserved.

KW - Conjugate product

KW - Coprimeness

KW - Euclidean division

KW - Greatest common divisors

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

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79551502126&origin=recordpage

U2 - 10.1016/j.aml.2010.12.019

DO - 10.1016/j.aml.2010.12.019

M3 - RGC 21 - Publication in refereed journal

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

Research Keywords

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